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Finding the Third Proportional to 349,847,118 and 809,917,542.75

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Solution

The third proportional to 349,847,118 and 809,917,542.75 is: 1,875,008,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,847,118 : 809,917,542.75 = 809,917,542.75 : x
  2. Step 2: Convert to fraction form
    349,847,118/809,917,542.75 = 809,917,542.75/x
  3. Step 3: Cross multiply
    349,847,118x = 809,917,542.75 × 809,917,542.75
  4. Step 4: Simplify right side
    349,847,118x = 655,966,426,054,198,016
  5. Step 5: Solve for x
    x = 655,966,426,054,198,016/349,847,118
  6. Step 6: Final answer
    x = 1,875,008,803.29

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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.