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Finding the Third Proportional to 3,100,941,562 and 4,766,361,063

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Solution

The third proportional to 3,100,941,562 and 4,766,361,063 is: 7,326,225,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,941,562 : 4,766,361,063 = 4,766,361,063 : x
  2. Step 2: Convert to fraction form
    3,100,941,562/4,766,361,063 = 4,766,361,063/x
  3. Step 3: Cross multiply
    3,100,941,562x = 4,766,361,063 × 4,766,361,063
  4. Step 4: Simplify right side
    3,100,941,562x = 22,718,197,782,882,488,320
  5. Step 5: Solve for x
    x = 22,718,197,782,882,488,320/3,100,941,562
  6. Step 6: Final answer
    x = 7,326,225,705.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.