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Finding the Third Proportional to 44,661,909 and 96,743,472

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Solution

The third proportional to 44,661,909 and 96,743,472 is: 209,558,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,661,909 : 96,743,472 = 96,743,472 : x
  2. Step 2: Convert to fraction form
    44,661,909/96,743,472 = 96,743,472/x
  3. Step 3: Cross multiply
    44,661,909x = 96,743,472 × 96,743,472
  4. Step 4: Simplify right side
    44,661,909x = 9,359,299,374,614,784
  5. Step 5: Solve for x
    x = 9,359,299,374,614,784/44,661,909
  6. Step 6: Final answer
    x = 209,558,874.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.