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Finding the Third Proportional to 349,847,139 and 809,917,596

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Solution

The third proportional to 349,847,139 and 809,917,596 is: 1,875,008,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,847,139 : 809,917,596 = 809,917,596 : x
  2. Step 2: Convert to fraction form
    349,847,139/809,917,596 = 809,917,596/x
  3. Step 3: Cross multiply
    349,847,139x = 809,917,596 × 809,917,596
  4. Step 4: Simplify right side
    349,847,139x = 655,966,512,310,419,200
  5. Step 5: Solve for x
    x = 655,966,512,310,419,200/349,847,139
  6. Step 6: Final answer
    x = 1,875,008,937.29

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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.