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Finding the Third Proportional to 717,853,469 and 1,558,221,313

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Solution

The third proportional to 717,853,469 and 1,558,221,313 is: 3,382,380,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,853,469 : 1,558,221,313 = 1,558,221,313 : x
  2. Step 2: Convert to fraction form
    717,853,469/1,558,221,313 = 1,558,221,313/x
  3. Step 3: Cross multiply
    717,853,469x = 1,558,221,313 × 1,558,221,313
  4. Step 4: Simplify right side
    717,853,469x = 2,428,053,660,287,443,968
  5. Step 5: Solve for x
    x = 2,428,053,660,287,443,968/717,853,469
  6. Step 6: Final answer
    x = 3,382,380,618.25

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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.