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Finding the Third Proportional to 29,488,998,597.75 and 64,988,794,226.25

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Solution

The third proportional to 29,488,998,597.75 and 64,988,794,226.25 is: 143,224,374,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,488,998,597.75 : 64,988,794,226.25 = 64,988,794,226.25 : x
  2. Step 2: Convert to fraction form
    29,488,998,597.75/64,988,794,226.25 = 64,988,794,226.25/x
  3. Step 3: Cross multiply
    29,488,998,597.75x = 64,988,794,226.25 × 64,988,794,226.25
  4. Step 4: Simplify right side
    29,488,998,597.75x = 4,223,543,374,981,865,406,464
  5. Step 5: Solve for x
    x = 4,223,543,374,981,865,406,464/29,488,998,597.75
  6. Step 6: Final answer
    x = 143,224,374,370.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.