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Finding the Third Proportional to 490,244,103.75 and 1,050,427,965.28

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Solution

The third proportional to 490,244,103.75 and 1,050,427,965.28 is: 2,250,713,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,244,103.75 : 1,050,427,965.28 = 1,050,427,965.28 : x
  2. Step 2: Convert to fraction form
    490,244,103.75/1,050,427,965.28 = 1,050,427,965.28/x
  3. Step 3: Cross multiply
    490,244,103.75x = 1,050,427,965.28 × 1,050,427,965.28
  4. Step 4: Simplify right side
    490,244,103.75x = 1,103,398,910,244,802,048
  5. Step 5: Solve for x
    x = 1,103,398,910,244,802,048/490,244,103.75
  6. Step 6: Final answer
    x = 2,250,713,270.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.