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Finding the Third Proportional to 207,318,766 and 479,956,048

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Solution

The third proportional to 207,318,766 and 479,956,048 is: 1,111,128,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,318,766 : 479,956,048 = 479,956,048 : x
  2. Step 2: Convert to fraction form
    207,318,766/479,956,048 = 479,956,048/x
  3. Step 3: Cross multiply
    207,318,766x = 479,956,048 × 479,956,048
  4. Step 4: Simplify right side
    207,318,766x = 230,357,808,011,778,304
  5. Step 5: Solve for x
    x = 230,357,808,011,778,304/207,318,766
  6. Step 6: Final answer
    x = 1,111,128,589.35

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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.