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Finding the Third Proportional to 521,530,389 and 1,105,239,366

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Solution

The third proportional to 521,530,389 and 1,105,239,366 is: 2,342,249,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,530,389 : 1,105,239,366 = 1,105,239,366 : x
  2. Step 2: Convert to fraction form
    521,530,389/1,105,239,366 = 1,105,239,366/x
  3. Step 3: Cross multiply
    521,530,389x = 1,105,239,366 × 1,105,239,366
  4. Step 4: Simplify right side
    521,530,389x = 1,221,554,056,156,081,920
  5. Step 5: Solve for x
    x = 1,221,554,056,156,081,920/521,530,389
  6. Step 6: Final answer
    x = 2,342,249,046.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.