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Finding the Third Proportional to 6,909,750 and 14,262,084

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Solution

The third proportional to 6,909,750 and 14,262,084 is: 29,437,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909,750 : 14,262,084 = 14,262,084 : x
  2. Step 2: Convert to fraction form
    6,909,750/14,262,084 = 14,262,084/x
  3. Step 3: Cross multiply
    6,909,750x = 14,262,084 × 14,262,084
  4. Step 4: Simplify right side
    6,909,750x = 203,407,040,023,056
  5. Step 5: Solve for x
    x = 203,407,040,023,056/6,909,750
  6. Step 6: Final answer
    x = 29,437,684.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.