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Finding the Third Proportional to 349,847,002.13 and 809,917,255.13

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Solution

The third proportional to 349,847,002.13 and 809,917,255.13 is: 1,875,008,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,847,002.13 : 809,917,255.13 = 809,917,255.13 : x
  2. Step 2: Convert to fraction form
    349,847,002.13/809,917,255.13 = 809,917,255.13/x
  3. Step 3: Cross multiply
    349,847,002.13x = 809,917,255.13 × 809,917,255.13
  4. Step 4: Simplify right side
    349,847,002.13x = 655,965,960,149,214,336
  5. Step 5: Solve for x
    x = 655,965,960,149,214,336/349,847,002.13
  6. Step 6: Final answer
    x = 1,875,008,092.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.