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Finding the Third Proportional to 29,291,275,876 and 63,575,971,390

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Solution

The third proportional to 29,291,275,876 and 63,575,971,390 is: 137,990,033,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,291,275,876 : 63,575,971,390 = 63,575,971,390 : x
  2. Step 2: Convert to fraction form
    29,291,275,876/63,575,971,390 = 63,575,971,390/x
  3. Step 3: Cross multiply
    29,291,275,876x = 63,575,971,390 × 63,575,971,390
  4. Step 4: Simplify right side
    29,291,275,876x = 4,041,904,138,182,098,681,856
  5. Step 5: Solve for x
    x = 4,041,904,138,182,098,681,856/29,291,275,876
  6. Step 6: Final answer
    x = 137,990,033,458.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.