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Finding the Third Proportional to 3,281,829,963.68 and 7,061,410,041.43

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Solution

The third proportional to 3,281,829,963.68 and 7,061,410,041.43 is: 15,193,813,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,829,963.68 : 7,061,410,041.43 = 7,061,410,041.43 : x
  2. Step 2: Convert to fraction form
    3,281,829,963.68/7,061,410,041.43 = 7,061,410,041.43/x
  3. Step 3: Cross multiply
    3,281,829,963.68x = 7,061,410,041.43 × 7,061,410,041.43
  4. Step 4: Simplify right side
    3,281,829,963.68x = 49,863,511,773,257,867,264
  5. Step 5: Solve for x
    x = 49,863,511,773,257,867,264/3,281,829,963.68
  6. Step 6: Final answer
    x = 15,193,813,306.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.