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Finding the Third Proportional to 21,680,511 and 31,921,791.75

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Solution

The third proportional to 21,680,511 and 31,921,791.75 is: 47,000,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680,511 : 31,921,791.75 = 31,921,791.75 : x
  2. Step 2: Convert to fraction form
    21,680,511/31,921,791.75 = 31,921,791.75/x
  3. Step 3: Cross multiply
    21,680,511x = 31,921,791.75 × 31,921,791.75
  4. Step 4: Simplify right side
    21,680,511x = 1,019,000,788,530,368
  5. Step 5: Solve for x
    x = 1,019,000,788,530,368/21,680,511
  6. Step 6: Final answer
    x = 47,000,773.58

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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.