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Finding the Third Proportional to 6,649,056 and 14,361,120

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Solution

The third proportional to 6,649,056 and 14,361,120 is: 31,018,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,056 : 14,361,120 = 14,361,120 : x
  2. Step 2: Convert to fraction form
    6,649,056/14,361,120 = 14,361,120/x
  3. Step 3: Cross multiply
    6,649,056x = 14,361,120 × 14,361,120
  4. Step 4: Simplify right side
    6,649,056x = 206,241,767,654,400
  5. Step 5: Solve for x
    x = 206,241,767,654,400/6,649,056
  6. Step 6: Final answer
    x = 31,018,202.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.