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Finding the Third Proportional to 1,325,429,448 and 1,976,650,203

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Solution

The third proportional to 1,325,429,448 and 1,976,650,203 is: 2,947,834,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,429,448 : 1,976,650,203 = 1,976,650,203 : x
  2. Step 2: Convert to fraction form
    1,325,429,448/1,976,650,203 = 1,976,650,203/x
  3. Step 3: Cross multiply
    1,325,429,448x = 1,976,650,203 × 1,976,650,203
  4. Step 4: Simplify right side
    1,325,429,448x = 3,907,146,025,019,941,376
  5. Step 5: Solve for x
    x = 3,907,146,025,019,941,376/1,325,429,448
  6. Step 6: Final answer
    x = 2,947,834,025.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.