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Finding the Third Proportional to 3,002,461,940.11 and 6,253,433,442

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Solution

The third proportional to 3,002,461,940.11 and 6,253,433,442 is: 13,024,454,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,461,940.11 : 6,253,433,442 = 6,253,433,442 : x
  2. Step 2: Convert to fraction form
    3,002,461,940.11/6,253,433,442 = 6,253,433,442/x
  3. Step 3: Cross multiply
    3,002,461,940.11x = 6,253,433,442 × 6,253,433,442
  4. Step 4: Simplify right side
    3,002,461,940.11x = 39,105,429,813,523,963,904
  5. Step 5: Solve for x
    x = 39,105,429,813,523,963,904/3,002,461,940.11
  6. Step 6: Final answer
    x = 13,024,454,795.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.