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Finding the Third Proportional to 2,296,165,033,704 and 4,919,846,652,772

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Solution

The third proportional to 2,296,165,033,704 and 4,919,846,652,772 is: 10,541,442,244,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,165,033,704 : 4,919,846,652,772 = 4,919,846,652,772 : x
  2. Step 2: Convert to fraction form
    2,296,165,033,704/4,919,846,652,772 = 4,919,846,652,772/x
  3. Step 3: Cross multiply
    2,296,165,033,704x = 4,919,846,652,772 × 4,919,846,652,772
  4. Step 4: Simplify right side
    2,296,165,033,704x = 24,204,891,086,791,852,597,182,464
  5. Step 5: Solve for x
    x = 24,204,891,086,791,852,597,182,464/2,296,165,033,704
  6. Step 6: Final answer
    x = 10,541,442,244,570.00

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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.