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Finding the Third Proportional to 1,203,944,238 and 2,644,645,502.25

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Solution

The third proportional to 1,203,944,238 and 2,644,645,502.25 is: 5,809,363,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,944,238 : 2,644,645,502.25 = 2,644,645,502.25 : x
  2. Step 2: Convert to fraction form
    1,203,944,238/2,644,645,502.25 = 2,644,645,502.25/x
  3. Step 3: Cross multiply
    1,203,944,238x = 2,644,645,502.25 × 2,644,645,502.25
  4. Step 4: Simplify right side
    1,203,944,238x = 6,994,149,832,571,154,432
  5. Step 5: Solve for x
    x = 6,994,149,832,571,154,432/1,203,944,238
  6. Step 6: Final answer
    x = 5,809,363,599.92

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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.