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Finding the Third Proportional to 4,081,490,248,225.20 and 8,953,178,032,463.20

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Solution

The third proportional to 4,081,490,248,225.20 and 8,953,178,032,463.20 is: 19,639,737,450,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081,490,248,225.20 : 8,953,178,032,463.20 = 8,953,178,032,463.20 : x
  2. Step 2: Convert to fraction form
    4,081,490,248,225.20/8,953,178,032,463.20 = 8,953,178,032,463.20/x
  3. Step 3: Cross multiply
    4,081,490,248,225.20x = 8,953,178,032,463.20 × 8,953,178,032,463.20
  4. Step 4: Simplify right side
    4,081,490,248,225.20x = 80,159,396,880,981,602,185,773,056
  5. Step 5: Solve for x
    x = 80,159,396,880,981,602,185,773,056/4,081,490,248,225.20
  6. Step 6: Final answer
    x = 19,639,737,450,270.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.