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Finding the Third Proportional to 29,488,998,600 and 64,988,794,231

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Solution

The third proportional to 29,488,998,600 and 64,988,794,231 is: 143,224,374,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,488,998,600 : 64,988,794,231 = 64,988,794,231 : x
  2. Step 2: Convert to fraction form
    29,488,998,600/64,988,794,231 = 64,988,794,231/x
  3. Step 3: Cross multiply
    29,488,998,600x = 64,988,794,231 × 64,988,794,231
  4. Step 4: Simplify right side
    29,488,998,600x = 4,223,543,375,599,259,090,944
  5. Step 5: Solve for x
    x = 4,223,543,375,599,259,090,944/29,488,998,600
  6. Step 6: Final answer
    x = 143,224,374,380.73

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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.