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Finding the Third Proportional to 3,659,385,684 and 5,654,357,566

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Solution

The third proportional to 3,659,385,684 and 5,654,357,566 is: 8,736,919,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659,385,684 : 5,654,357,566 = 5,654,357,566 : x
  2. Step 2: Convert to fraction form
    3,659,385,684/5,654,357,566 = 5,654,357,566/x
  3. Step 3: Cross multiply
    3,659,385,684x = 5,654,357,566 × 5,654,357,566
  4. Step 4: Simplify right side
    3,659,385,684x = 31,971,759,484,181,442,560
  5. Step 5: Solve for x
    x = 31,971,759,484,181,442,560/3,659,385,684
  6. Step 6: Final answer
    x = 8,736,919,867.17

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