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Finding the Third Proportional to 51,309,332 and 106,864,360

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Solution

The third proportional to 51,309,332 and 106,864,360 is: 222,571,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309,332 : 106,864,360 = 106,864,360 : x
  2. Step 2: Convert to fraction form
    51,309,332/106,864,360 = 106,864,360/x
  3. Step 3: Cross multiply
    51,309,332x = 106,864,360 × 106,864,360
  4. Step 4: Simplify right side
    51,309,332x = 11,419,991,438,209,600
  5. Step 5: Solve for x
    x = 11,419,991,438,209,600/51,309,332
  6. Step 6: Final answer
    x = 222,571,430.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.