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Finding the Third Proportional to 924,957,272.25 and 1,361,887,374.38

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Solution

The third proportional to 924,957,272.25 and 1,361,887,374.38 is: 2,005,213,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,957,272.25 : 1,361,887,374.38 = 1,361,887,374.38 : x
  2. Step 2: Convert to fraction form
    924,957,272.25/1,361,887,374.38 = 1,361,887,374.38/x
  3. Step 3: Cross multiply
    924,957,272.25x = 1,361,887,374.38 × 1,361,887,374.38
  4. Step 4: Simplify right side
    924,957,272.25x = 1,854,737,220,482,031,360
  5. Step 5: Solve for x
    x = 1,854,737,220,482,031,360/924,957,272.25
  6. Step 6: Final answer
    x = 2,005,213,944.61

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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.