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Finding the Third Proportional to 414,217,113 and 643,151,034

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Solution

The third proportional to 414,217,113 and 643,151,034 is: 998,614,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,217,113 : 643,151,034 = 643,151,034 : x
  2. Step 2: Convert to fraction form
    414,217,113/643,151,034 = 643,151,034/x
  3. Step 3: Cross multiply
    414,217,113x = 643,151,034 × 643,151,034
  4. Step 4: Simplify right side
    414,217,113x = 413,643,252,535,269,184
  5. Step 5: Solve for x
    x = 413,643,252,535,269,184/414,217,113
  6. Step 6: Final answer
    x = 998,614,590.16

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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.