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Finding the Third Proportional to 4,139,269,622,549 and 9,007,413,332,217

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Solution

The third proportional to 4,139,269,622,549 and 9,007,413,332,217 is: 19,600,920,533,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139,269,622,549 : 9,007,413,332,217 = 9,007,413,332,217 : x
  2. Step 2: Convert to fraction form
    4,139,269,622,549/9,007,413,332,217 = 9,007,413,332,217/x
  3. Step 3: Cross multiply
    4,139,269,622,549x = 9,007,413,332,217 × 9,007,413,332,217
  4. Step 4: Simplify right side
    4,139,269,622,549x = 81,133,494,937,400,554,159,079,424
  5. Step 5: Solve for x
    x = 81,133,494,937,400,554,159,079,424/4,139,269,622,549
  6. Step 6: Final answer
    x = 19,600,920,533,279.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.