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Finding the Third Proportional to 5,042,778 and 7,569,327

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Solution

The third proportional to 5,042,778 and 7,569,327 is: 11,361,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042,778 : 7,569,327 = 7,569,327 : x
  2. Step 2: Convert to fraction form
    5,042,778/7,569,327 = 7,569,327/x
  3. Step 3: Cross multiply
    5,042,778x = 7,569,327 × 7,569,327
  4. Step 4: Simplify right side
    5,042,778x = 57,294,711,232,929
  5. Step 5: Solve for x
    x = 57,294,711,232,929/5,042,778
  6. Step 6: Final answer
    x = 11,361,735.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.