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Finding the Third Proportional to 1,229,669,515.13 and 2,677,672,647

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Solution

The third proportional to 1,229,669,515.13 and 2,677,672,647 is: 5,830,778,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,669,515.13 : 2,677,672,647 = 2,677,672,647 : x
  2. Step 2: Convert to fraction form
    1,229,669,515.13/2,677,672,647 = 2,677,672,647/x
  3. Step 3: Cross multiply
    1,229,669,515.13x = 2,677,672,647 × 2,677,672,647
  4. Step 4: Simplify right side
    1,229,669,515.13x = 7,169,930,804,491,986,944
  5. Step 5: Solve for x
    x = 7,169,930,804,491,986,944/1,229,669,515.13
  6. Step 6: Final answer
    x = 5,830,778,689.97

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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.