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Finding the Third Proportional to 22,543,231 and 49,236,960

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Solution

The third proportional to 22,543,231 and 49,236,960 is: 107,539,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543,231 : 49,236,960 = 49,236,960 : x
  2. Step 2: Convert to fraction form
    22,543,231/49,236,960 = 49,236,960/x
  3. Step 3: Cross multiply
    22,543,231x = 49,236,960 × 49,236,960
  4. Step 4: Simplify right side
    22,543,231x = 2,424,278,230,041,600
  5. Step 5: Solve for x
    x = 2,424,278,230,041,600/22,543,231
  6. Step 6: Final answer
    x = 107,539,075.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.