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Finding the Third Proportional to 225,126,396 and 487,830,514

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Solution

The third proportional to 225,126,396 and 487,830,514 is: 1,057,088,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,126,396 : 487,830,514 = 487,830,514 : x
  2. Step 2: Convert to fraction form
    225,126,396/487,830,514 = 487,830,514/x
  3. Step 3: Cross multiply
    225,126,396x = 487,830,514 × 487,830,514
  4. Step 4: Simplify right side
    225,126,396x = 237,978,610,389,504,192
  5. Step 5: Solve for x
    x = 237,978,610,389,504,192/225,126,396
  6. Step 6: Final answer
    x = 1,057,088,882.59

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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.