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Finding the Third Proportional to 307,282,684 and 675,856,502

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Solution

The third proportional to 307,282,684 and 675,856,502 is: 1,486,520,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,282,684 : 675,856,502 = 675,856,502 : x
  2. Step 2: Convert to fraction form
    307,282,684/675,856,502 = 675,856,502/x
  3. Step 3: Cross multiply
    307,282,684x = 675,856,502 × 675,856,502
  4. Step 4: Simplify right side
    307,282,684x = 456,782,011,295,676,032
  5. Step 5: Solve for x
    x = 456,782,011,295,676,032/307,282,684
  6. Step 6: Final answer
    x = 1,486,520,507.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.