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Finding the Third Proportional to 13,744,485 and 20,196,006.75

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Solution

The third proportional to 13,744,485 and 20,196,006.75 is: 29,675,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744,485 : 20,196,006.75 = 20,196,006.75 : x
  2. Step 2: Convert to fraction form
    13,744,485/20,196,006.75 = 20,196,006.75/x
  3. Step 3: Cross multiply
    13,744,485x = 20,196,006.75 × 20,196,006.75
  4. Step 4: Simplify right side
    13,744,485x = 407,878,688,646,045.56
  5. Step 5: Solve for x
    x = 407,878,688,646,045.56/13,744,485
  6. Step 6: Final answer
    x = 29,675,807.33

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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.