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Finding the Third Proportional to 27,687,064 and 42,981,712

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Solution

The third proportional to 27,687,064 and 42,981,712 is: 66,725,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687,064 : 42,981,712 = 42,981,712 : x
  2. Step 2: Convert to fraction form
    27,687,064/42,981,712 = 42,981,712/x
  3. Step 3: Cross multiply
    27,687,064x = 42,981,712 × 42,981,712
  4. Step 4: Simplify right side
    27,687,064x = 1,847,427,566,450,944
  5. Step 5: Solve for x
    x = 1,847,427,566,450,944/27,687,064
  6. Step 6: Final answer
    x = 66,725,296.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.