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Finding the Third Proportional to 440,652,074 and 666,645,498

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Solution

The third proportional to 440,652,074 and 666,645,498 is: 1,008,542,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,652,074 : 666,645,498 = 666,645,498 : x
  2. Step 2: Convert to fraction form
    440,652,074/666,645,498 = 666,645,498/x
  3. Step 3: Cross multiply
    440,652,074x = 666,645,498 × 666,645,498
  4. Step 4: Simplify right side
    440,652,074x = 444,416,220,003,668,032
  5. Step 5: Solve for x
    x = 444,416,220,003,668,032/440,652,074
  6. Step 6: Final answer
    x = 1,008,542,217.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.