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Finding the Third Proportional to 8,242,074 and 18,128,484

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Solution

The third proportional to 8,242,074 and 18,128,484 is: 39,873,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,074 : 18,128,484 = 18,128,484 : x
  2. Step 2: Convert to fraction form
    8,242,074/18,128,484 = 18,128,484/x
  3. Step 3: Cross multiply
    8,242,074x = 18,128,484 × 18,128,484
  4. Step 4: Simplify right side
    8,242,074x = 328,641,932,138,256
  5. Step 5: Solve for x
    x = 328,641,932,138,256/8,242,074
  6. Step 6: Final answer
    x = 39,873,693.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.