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Finding the Third Proportional to 268,229,952 and 410,043,600

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Solution

The third proportional to 268,229,952 and 410,043,600 is: 626,834,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,229,952 : 410,043,600 = 410,043,600 : x
  2. Step 2: Convert to fraction form
    268,229,952/410,043,600 = 410,043,600/x
  3. Step 3: Cross multiply
    268,229,952x = 410,043,600 × 410,043,600
  4. Step 4: Simplify right side
    268,229,952x = 168,135,753,900,960,000
  5. Step 5: Solve for x
    x = 168,135,753,900,960,000/268,229,952
  6. Step 6: Final answer
    x = 626,834,373.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.