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Finding the Third Proportional to 21,909,760 and 47,283,680

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Solution

The third proportional to 21,909,760 and 47,283,680 is: 102,043,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909,760 : 47,283,680 = 47,283,680 : x
  2. Step 2: Convert to fraction form
    21,909,760/47,283,680 = 47,283,680/x
  3. Step 3: Cross multiply
    21,909,760x = 47,283,680 × 47,283,680
  4. Step 4: Simplify right side
    21,909,760x = 2,235,746,394,342,400
  5. Step 5: Solve for x
    x = 2,235,746,394,342,400/21,909,760
  6. Step 6: Final answer
    x = 102,043,399.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.