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Finding the Third Proportional to 691,385,993.25 and 1,520,677,034.25

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Solution

The third proportional to 691,385,993.25 and 1,520,677,034.25 is: 3,344,670,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,385,993.25 : 1,520,677,034.25 = 1,520,677,034.25 : x
  2. Step 2: Convert to fraction form
    691,385,993.25/1,520,677,034.25 = 1,520,677,034.25/x
  3. Step 3: Cross multiply
    691,385,993.25x = 1,520,677,034.25 × 1,520,677,034.25
  4. Step 4: Simplify right side
    691,385,993.25x = 2,312,458,642,495,375,872
  5. Step 5: Solve for x
    x = 2,312,458,642,495,375,872/691,385,993.25
  6. Step 6: Final answer
    x = 3,344,670,943.69

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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.