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Finding the Third Proportional to 490,244,103 and 1,050,427,965

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Solution

The third proportional to 490,244,103 and 1,050,427,965 is: 2,250,713,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,244,103 : 1,050,427,965 = 1,050,427,965 : x
  2. Step 2: Convert to fraction form
    490,244,103/1,050,427,965 = 1,050,427,965/x
  3. Step 3: Cross multiply
    490,244,103x = 1,050,427,965 × 1,050,427,965
  4. Step 4: Simplify right side
    490,244,103x = 1,103,398,909,654,041,216
  5. Step 5: Solve for x
    x = 1,103,398,909,654,041,216/490,244,103
  6. Step 6: Final answer
    x = 2,250,713,273.04

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Why These Related Problems?

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