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Finding the Third Proportional to 1,807,482,996.75 and 2,793,022,129.13

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Solution

The third proportional to 1,807,482,996.75 and 2,793,022,129.13 is: 4,315,931,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,482,996.75 : 2,793,022,129.13 = 2,793,022,129.13 : x
  2. Step 2: Convert to fraction form
    1,807,482,996.75/2,793,022,129.13 = 2,793,022,129.13/x
  3. Step 3: Cross multiply
    1,807,482,996.75x = 2,793,022,129.13 × 2,793,022,129.13
  4. Step 4: Simplify right side
    1,807,482,996.75x = 7,800,972,613,781,948,416
  5. Step 5: Solve for x
    x = 7,800,972,613,781,948,416/1,807,482,996.75
  6. Step 6: Final answer
    x = 4,315,931,396.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.