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Finding the Third Proportional to 513,251,624 and 1,053,712,224

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Solution

The third proportional to 513,251,624 and 1,053,712,224 is: 2,163,284,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,251,624 : 1,053,712,224 = 1,053,712,224 : x
  2. Step 2: Convert to fraction form
    513,251,624/1,053,712,224 = 1,053,712,224/x
  3. Step 3: Cross multiply
    513,251,624x = 1,053,712,224 × 1,053,712,224
  4. Step 4: Simplify right side
    513,251,624x = 1,110,309,451,007,026,176
  5. Step 5: Solve for x
    x = 1,110,309,451,007,026,176/513,251,624
  6. Step 6: Final answer
    x = 2,163,284,827.73

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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.