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Finding the Third Proportional to 414,217,112 and 643,151,033

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Solution

The third proportional to 414,217,112 and 643,151,033 is: 998,614,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,217,112 : 643,151,033 = 643,151,033 : x
  2. Step 2: Convert to fraction form
    414,217,112/643,151,033 = 643,151,033/x
  3. Step 3: Cross multiply
    414,217,112x = 643,151,033 × 643,151,033
  4. Step 4: Simplify right side
    414,217,112x = 413,643,251,248,967,104
  5. Step 5: Solve for x
    x = 413,643,251,248,967,104/414,217,112
  6. Step 6: Final answer
    x = 998,614,589.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.