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Finding the Third Proportional to 19,799,663 and 31,505,471

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Solution

The third proportional to 19,799,663 and 31,505,471 is: 50,131,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,799,663 : 31,505,471 = 31,505,471 : x
  2. Step 2: Convert to fraction form
    19,799,663/31,505,471 = 31,505,471/x
  3. Step 3: Cross multiply
    19,799,663x = 31,505,471 × 31,505,471
  4. Step 4: Simplify right side
    19,799,663x = 992,594,702,931,841
  5. Step 5: Solve for x
    x = 992,594,702,931,841/19,799,663
  6. Step 6: Final answer
    x = 50,131,898.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.