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Finding the Third Proportional to 29,488,998,861 and 64,988,794,746

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Solution

The third proportional to 29,488,998,861 and 64,988,794,746 is: 143,224,375,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,488,998,861 : 64,988,794,746 = 64,988,794,746 : x
  2. Step 2: Convert to fraction form
    29,488,998,861/64,988,794,746 = 64,988,794,746/x
  3. Step 3: Cross multiply
    29,488,998,861x = 64,988,794,746 × 64,988,794,746
  4. Step 4: Simplify right side
    29,488,998,861x = 4,223,543,442,537,717,432,320
  5. Step 5: Solve for x
    x = 4,223,543,442,537,717,432,320/29,488,998,861
  6. Step 6: Final answer
    x = 143,224,375,383.03

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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.