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Finding the Third Proportional to 40,083,152 and 87,827,048

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Solution

The third proportional to 40,083,152 and 87,827,048 is: 192,439,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,083,152 : 87,827,048 = 87,827,048 : x
  2. Step 2: Convert to fraction form
    40,083,152/87,827,048 = 87,827,048/x
  3. Step 3: Cross multiply
    40,083,152x = 87,827,048 × 87,827,048
  4. Step 4: Simplify right side
    40,083,152x = 7,713,590,360,394,304
  5. Step 5: Solve for x
    x = 7,713,590,360,394,304/40,083,152
  6. Step 6: Final answer
    x = 192,439,715.33

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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.