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Finding the Third Proportional to 2,296,165,033,700.50 and 4,919,846,652,764

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Solution

The third proportional to 2,296,165,033,700.50 and 4,919,846,652,764 is: 10,541,442,244,551.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,165,033,700.50 : 4,919,846,652,764 = 4,919,846,652,764 : x
  2. Step 2: Convert to fraction form
    2,296,165,033,700.50/4,919,846,652,764 = 4,919,846,652,764/x
  3. Step 3: Cross multiply
    2,296,165,033,700.50x = 4,919,846,652,764 × 4,919,846,652,764
  4. Step 4: Simplify right side
    2,296,165,033,700.50x = 24,204,891,086,713,134,436,581,376
  5. Step 5: Solve for x
    x = 24,204,891,086,713,134,436,581,376/2,296,165,033,700.50
  6. Step 6: Final answer
    x = 10,541,442,244,551.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.