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Finding the Third Proportional to 2,603,280,812 and 3,965,829,344

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Solution

The third proportional to 2,603,280,812 and 3,965,829,344 is: 6,041,531,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603,280,812 : 3,965,829,344 = 3,965,829,344 : x
  2. Step 2: Convert to fraction form
    2,603,280,812/3,965,829,344 = 3,965,829,344/x
  3. Step 3: Cross multiply
    2,603,280,812x = 3,965,829,344 × 3,965,829,344
  4. Step 4: Simplify right side
    2,603,280,812x = 15,727,802,385,731,469,312
  5. Step 5: Solve for x
    x = 15,727,802,385,731,469,312/2,603,280,812
  6. Step 6: Final answer
    x = 6,041,531,252.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.