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Finding the Third Proportional to 15,900,876,435 and 34,451,744,478

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Solution

The third proportional to 15,900,876,435 and 34,451,744,478 is: 74,645,111,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900,876,435 : 34,451,744,478 = 34,451,744,478 : x
  2. Step 2: Convert to fraction form
    15,900,876,435/34,451,744,478 = 34,451,744,478/x
  3. Step 3: Cross multiply
    15,900,876,435x = 34,451,744,478 × 34,451,744,478
  4. Step 4: Simplify right side
    15,900,876,435x = 1,186,922,697,577,403,514,880
  5. Step 5: Solve for x
    x = 1,186,922,697,577,403,514,880/15,900,876,435
  6. Step 6: Final answer
    x = 74,645,111,697.42

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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.