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Finding the Third Proportional to 10,770,141 and 16,117,121.25

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Solution

The third proportional to 10,770,141 and 16,117,121.25 is: 24,118,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770,141 : 16,117,121.25 = 16,117,121.25 : x
  2. Step 2: Convert to fraction form
    10,770,141/16,117,121.25 = 16,117,121.25/x
  3. Step 3: Cross multiply
    10,770,141x = 16,117,121.25 × 16,117,121.25
  4. Step 4: Simplify right side
    10,770,141x = 259,761,597,387,201.56
  5. Step 5: Solve for x
    x = 259,761,597,387,201.56/10,770,141
  6. Step 6: Final answer
    x = 24,118,681.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.