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Finding the Third Proportional to 29,571,642 and 64,717,866

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Solution

The third proportional to 29,571,642 and 64,717,866 is: 141,635,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,571,642 : 64,717,866 = 64,717,866 : x
  2. Step 2: Convert to fraction form
    29,571,642/64,717,866 = 64,717,866/x
  3. Step 3: Cross multiply
    29,571,642x = 64,717,866 × 64,717,866
  4. Step 4: Simplify right side
    29,571,642x = 4,188,402,179,593,956
  5. Step 5: Solve for x
    x = 4,188,402,179,593,956/29,571,642
  6. Step 6: Final answer
    x = 141,635,766.44

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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.