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Finding the Third Proportional to 8,442,809 and 19,910,489

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Solution

The third proportional to 8,442,809 and 19,910,489 is: 46,954,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442,809 : 19,910,489 = 19,910,489 : x
  2. Step 2: Convert to fraction form
    8,442,809/19,910,489 = 19,910,489/x
  3. Step 3: Cross multiply
    8,442,809x = 19,910,489 × 19,910,489
  4. Step 4: Simplify right side
    8,442,809x = 396,427,572,219,121
  5. Step 5: Solve for x
    x = 396,427,572,219,121/8,442,809
  6. Step 6: Final answer
    x = 46,954,464.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.