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Finding the Third Proportional to 414,150,036 and 659,312,496

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Solution

The third proportional to 414,150,036 and 659,312,496 is: 1,049,602,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,150,036 : 659,312,496 = 659,312,496 : x
  2. Step 2: Convert to fraction form
    414,150,036/659,312,496 = 659,312,496/x
  3. Step 3: Cross multiply
    414,150,036x = 659,312,496 × 659,312,496
  4. Step 4: Simplify right side
    414,150,036x = 434,692,967,381,750,016
  5. Step 5: Solve for x
    x = 434,692,967,381,750,016/414,150,036
  6. Step 6: Final answer
    x = 1,049,602,630.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.