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Finding the Third Proportional to 414,217,114 and 643,151,036

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Solution

The third proportional to 414,217,114 and 643,151,036 is: 998,614,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,217,114 : 643,151,036 = 643,151,036 : x
  2. Step 2: Convert to fraction form
    414,217,114/643,151,036 = 643,151,036/x
  3. Step 3: Cross multiply
    414,217,114x = 643,151,036 × 643,151,036
  4. Step 4: Simplify right side
    414,217,114x = 413,643,255,107,873,280
  5. Step 5: Solve for x
    x = 413,643,255,107,873,280/414,217,114
  6. Step 6: Final answer
    x = 998,614,593.96

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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.