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Finding the Third Proportional to 513,251,612 and 1,053,712,204

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Solution

The third proportional to 513,251,612 and 1,053,712,204 is: 2,163,284,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,251,612 : 1,053,712,204 = 1,053,712,204 : x
  2. Step 2: Convert to fraction form
    513,251,612/1,053,712,204 = 1,053,712,204/x
  3. Step 3: Cross multiply
    513,251,612x = 1,053,712,204 × 1,053,712,204
  4. Step 4: Simplify right side
    513,251,612x = 1,110,309,408,858,537,600
  5. Step 5: Solve for x
    x = 1,110,309,408,858,537,600/513,251,612
  6. Step 6: Final answer
    x = 2,163,284,796.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.