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Finding the Third Proportional to 987,091,120.13 and 2,167,862,869.13

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Solution

The third proportional to 987,091,120.13 and 2,167,862,869.13 is: 4,761,089,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,091,120.13 : 2,167,862,869.13 = 2,167,862,869.13 : x
  2. Step 2: Convert to fraction form
    987,091,120.13/2,167,862,869.13 = 2,167,862,869.13/x
  3. Step 3: Cross multiply
    987,091,120.13x = 2,167,862,869.13 × 2,167,862,869.13
  4. Step 4: Simplify right side
    987,091,120.13x = 4,699,629,419,330,876,416
  5. Step 5: Solve for x
    x = 4,699,629,419,330,876,416/987,091,120.13
  6. Step 6: Final answer
    x = 4,761,089,755.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.