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Finding the Third Proportional to 41,644,496,157.50 and 63,442,509,279

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Solution

The third proportional to 41,644,496,157.50 and 63,442,509,279 is: 96,650,274,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644,496,157.50 : 63,442,509,279 = 63,442,509,279 : x
  2. Step 2: Convert to fraction form
    41,644,496,157.50/63,442,509,279 = 63,442,509,279/x
  3. Step 3: Cross multiply
    41,644,496,157.50x = 63,442,509,279 × 63,442,509,279
  4. Step 4: Simplify right side
    41,644,496,157.50x = 4,024,951,983,616,001,310,720
  5. Step 5: Solve for x
    x = 4,024,951,983,616,001,310,720/41,644,496,157.50
  6. Step 6: Final answer
    x = 96,650,274,465.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.