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Finding the Third Proportional to 278,034,153 and 599,126,334

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Solution

The third proportional to 278,034,153 and 599,126,334 is: 1,291,036,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,034,153 : 599,126,334 = 599,126,334 : x
  2. Step 2: Convert to fraction form
    278,034,153/599,126,334 = 599,126,334/x
  3. Step 3: Cross multiply
    278,034,153x = 599,126,334 × 599,126,334
  4. Step 4: Simplify right side
    278,034,153x = 358,952,364,092,279,552
  5. Step 5: Solve for x
    x = 358,952,364,092,279,552/278,034,153
  6. Step 6: Final answer
    x = 1,291,036,947.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.