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Finding the Third Proportional to 691,385,993.09 and 1,520,677,033.24

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Solution

The third proportional to 691,385,993.09 and 1,520,677,033.24 is: 3,344,670,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,385,993.09 : 1,520,677,033.24 = 1,520,677,033.24 : x
  2. Step 2: Convert to fraction form
    691,385,993.09/1,520,677,033.24 = 1,520,677,033.24/x
  3. Step 3: Cross multiply
    691,385,993.09x = 1,520,677,033.24 × 1,520,677,033.24
  4. Step 4: Simplify right side
    691,385,993.09x = 2,312,458,639,429,995,008
  5. Step 5: Solve for x
    x = 2,312,458,639,429,995,008/691,385,993.09
  6. Step 6: Final answer
    x = 3,344,670,940.05

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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.