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Finding the Third Proportional to 130,456,674 and 279,587,817

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Solution

The third proportional to 130,456,674 and 279,587,817 is: 599,197,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,456,674 : 279,587,817 = 279,587,817 : x
  2. Step 2: Convert to fraction form
    130,456,674/279,587,817 = 279,587,817/x
  3. Step 3: Cross multiply
    130,456,674x = 279,587,817 × 279,587,817
  4. Step 4: Simplify right side
    130,456,674x = 78,169,347,414,825,488
  5. Step 5: Solve for x
    x = 78,169,347,414,825,488/130,456,674
  6. Step 6: Final answer
    x = 599,197,764.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.