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Finding the Third Proportional to 69,860,346,498 and 151,960,948,578

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Solution

The third proportional to 69,860,346,498 and 151,960,948,578 is: 330,547,027,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,860,346,498 : 151,960,948,578 = 151,960,948,578 : x
  2. Step 2: Convert to fraction form
    69,860,346,498/151,960,948,578 = 151,960,948,578/x
  3. Step 3: Cross multiply
    69,860,346,498x = 151,960,948,578 × 151,960,948,578
  4. Step 4: Simplify right side
    69,860,346,498x = 23,092,129,892,725,560,442,880
  5. Step 5: Solve for x
    x = 23,092,129,892,725,560,442,880/69,860,346,498
  6. Step 6: Final answer
    x = 330,547,027,753.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.