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Finding the Third Proportional to 15,783,091,720 and 34,344,642,847

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Solution

The third proportional to 15,783,091,720 and 34,344,642,847 is: 74,735,325,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783,091,720 : 34,344,642,847 = 34,344,642,847 : x
  2. Step 2: Convert to fraction form
    15,783,091,720/34,344,642,847 = 34,344,642,847/x
  3. Step 3: Cross multiply
    15,783,091,720x = 34,344,642,847 × 34,344,642,847
  4. Step 4: Simplify right side
    15,783,091,720x = 1,179,554,492,287,988,269,056
  5. Step 5: Solve for x
    x = 1,179,554,492,287,988,269,056/15,783,091,720
  6. Step 6: Final answer
    x = 74,735,325,195.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.