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Finding the Third Proportional to 278,034,150 and 599,126,328

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Solution

The third proportional to 278,034,150 and 599,126,328 is: 1,291,036,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,034,150 : 599,126,328 = 599,126,328 : x
  2. Step 2: Convert to fraction form
    278,034,150/599,126,328 = 599,126,328/x
  3. Step 3: Cross multiply
    278,034,150x = 599,126,328 × 599,126,328
  4. Step 4: Simplify right side
    278,034,150x = 358,952,356,902,763,584
  5. Step 5: Solve for x
    x = 358,952,356,902,763,584/278,034,150
  6. Step 6: Final answer
    x = 1,291,036,935.22

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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.