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Finding the Third Proportional to 2,697,797,250 and 4,046,695,600

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Solution

The third proportional to 2,697,797,250 and 4,046,695,600 is: 6,070,042,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,797,250 : 4,046,695,600 = 4,046,695,600 : x
  2. Step 2: Convert to fraction form
    2,697,797,250/4,046,695,600 = 4,046,695,600/x
  3. Step 3: Cross multiply
    2,697,797,250x = 4,046,695,600 × 4,046,695,600
  4. Step 4: Simplify right side
    2,697,797,250x = 16,375,745,279,059,359,744
  5. Step 5: Solve for x
    x = 16,375,745,279,059,359,744/2,697,797,250
  6. Step 6: Final answer
    x = 6,070,042,987.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.