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Finding the Third Proportional to 1,095,073,271,494 and 1,609,806,287,863

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Solution

The third proportional to 1,095,073,271,494 and 1,609,806,287,863 is: 2,366,486,656,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,073,271,494 : 1,609,806,287,863 = 1,609,806,287,863 : x
  2. Step 2: Convert to fraction form
    1,095,073,271,494/1,609,806,287,863 = 1,609,806,287,863/x
  3. Step 3: Cross multiply
    1,095,073,271,494x = 1,609,806,287,863 × 1,609,806,287,863
  4. Step 4: Simplify right side
    1,095,073,271,494x = 2,591,476,284,443,251,907,231,744
  5. Step 5: Solve for x
    x = 2,591,476,284,443,251,907,231,744/1,095,073,271,494
  6. Step 6: Final answer
    x = 2,366,486,656,100.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.