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Finding the Third Proportional to 117,065,952 and 252,112,320

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Solution

The third proportional to 117,065,952 and 252,112,320 is: 542,947,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,065,952 : 252,112,320 = 252,112,320 : x
  2. Step 2: Convert to fraction form
    117,065,952/252,112,320 = 252,112,320/x
  3. Step 3: Cross multiply
    117,065,952x = 252,112,320 × 252,112,320
  4. Step 4: Simplify right side
    117,065,952x = 63,560,621,895,782,400
  5. Step 5: Solve for x
    x = 63,560,621,895,782,400/117,065,952
  6. Step 6: Final answer
    x = 542,947,123.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.