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Finding the Third Proportional to 3,643,859,389,698 and 7,589,318,868,891

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Solution

The third proportional to 3,643,859,389,698 and 7,589,318,868,891 is: 15,806,801,178,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,859,389,698 : 7,589,318,868,891 = 7,589,318,868,891 : x
  2. Step 2: Convert to fraction form
    3,643,859,389,698/7,589,318,868,891 = 7,589,318,868,891/x
  3. Step 3: Cross multiply
    3,643,859,389,698x = 7,589,318,868,891 × 7,589,318,868,891
  4. Step 4: Simplify right side
    3,643,859,389,698x = 57,597,760,893,704,964,164,026,368
  5. Step 5: Solve for x
    x = 57,597,760,893,704,964,164,026,368/3,643,859,389,698
  6. Step 6: Final answer
    x = 15,806,801,178,043.98

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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.