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Finding the Third Proportional to 13,726,170 and 20,130,471

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Solution

The third proportional to 13,726,170 and 20,130,471 is: 29,522,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726,170 : 20,130,471 = 20,130,471 : x
  2. Step 2: Convert to fraction form
    13,726,170/20,130,471 = 20,130,471/x
  3. Step 3: Cross multiply
    13,726,170x = 20,130,471 × 20,130,471
  4. Step 4: Simplify right side
    13,726,170x = 405,235,862,681,841
  5. Step 5: Solve for x
    x = 405,235,862,681,841/13,726,170
  6. Step 6: Final answer
    x = 29,522,864.91

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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.