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Finding the Third Proportional to 49,495,461 and 72,727,599

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Solution

The third proportional to 49,495,461 and 72,727,599 is: 106,864,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,495,461 : 72,727,599 = 72,727,599 : x
  2. Step 2: Convert to fraction form
    49,495,461/72,727,599 = 72,727,599/x
  3. Step 3: Cross multiply
    49,495,461x = 72,727,599 × 72,727,599
  4. Step 4: Simplify right side
    49,495,461x = 5,289,303,656,304,801
  5. Step 5: Solve for x
    x = 5,289,303,656,304,801/49,495,461
  6. Step 6: Final answer
    x = 106,864,418.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.