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Finding the Third Proportional to 1,250,498,942.25 and 2,662,730,909.25

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Solution

The third proportional to 1,250,498,942.25 and 2,662,730,909.25 is: 5,669,845,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250,498,942.25 : 2,662,730,909.25 = 2,662,730,909.25 : x
  2. Step 2: Convert to fraction form
    1,250,498,942.25/2,662,730,909.25 = 2,662,730,909.25/x
  3. Step 3: Cross multiply
    1,250,498,942.25x = 2,662,730,909.25 × 2,662,730,909.25
  4. Step 4: Simplify right side
    1,250,498,942.25x = 7,090,135,895,075,332,096
  5. Step 5: Solve for x
    x = 7,090,135,895,075,332,096/1,250,498,942.25
  6. Step 6: Final answer
    x = 5,669,845,575.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.