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Finding the Third Proportional to 3,643,859,389,716 and 7,589,318,868,927

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Solution

The third proportional to 3,643,859,389,716 and 7,589,318,868,927 is: 15,806,801,178,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,859,389,716 : 7,589,318,868,927 = 7,589,318,868,927 : x
  2. Step 2: Convert to fraction form
    3,643,859,389,716/7,589,318,868,927 = 7,589,318,868,927/x
  3. Step 3: Cross multiply
    3,643,859,389,716x = 7,589,318,868,927 × 7,589,318,868,927
  4. Step 4: Simplify right side
    3,643,859,389,716x = 57,597,760,894,251,395,673,227,264
  5. Step 5: Solve for x
    x = 57,597,760,894,251,395,673,227,264/3,643,859,389,716
  6. Step 6: Final answer
    x = 15,806,801,178,115.86

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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.