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Finding the Third Proportional to 18,105,633 and 38,799,972

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Solution

The third proportional to 18,105,633 and 38,799,972 is: 83,147,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105,633 : 38,799,972 = 38,799,972 : x
  2. Step 2: Convert to fraction form
    18,105,633/38,799,972 = 38,799,972/x
  3. Step 3: Cross multiply
    18,105,633x = 38,799,972 × 38,799,972
  4. Step 4: Simplify right side
    18,105,633x = 1,505,437,827,200,784
  5. Step 5: Solve for x
    x = 1,505,437,827,200,784/18,105,633
  6. Step 6: Final answer
    x = 83,147,483.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.