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Finding the Third Proportional to 29,488,998,882 and 64,988,794,791

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Solution

The third proportional to 29,488,998,882 and 64,988,794,791 is: 143,224,375,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,488,998,882 : 64,988,794,791 = 64,988,794,791 : x
  2. Step 2: Convert to fraction form
    29,488,998,882/64,988,794,791 = 64,988,794,791/x
  3. Step 3: Cross multiply
    29,488,998,882x = 64,988,794,791 × 64,988,794,791
  4. Step 4: Simplify right side
    29,488,998,882x = 4,223,543,448,386,708,963,328
  5. Step 5: Solve for x
    x = 4,223,543,448,386,708,963,328/29,488,998,882
  6. Step 6: Final answer
    x = 143,224,375,479.38

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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.