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Finding the Third Proportional to 6,142,969 and 13,330,125

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Solution

The third proportional to 6,142,969 and 13,330,125 is: 28,926,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142,969 : 13,330,125 = 13,330,125 : x
  2. Step 2: Convert to fraction form
    6,142,969/13,330,125 = 13,330,125/x
  3. Step 3: Cross multiply
    6,142,969x = 13,330,125 × 13,330,125
  4. Step 4: Simplify right side
    6,142,969x = 177,692,232,515,625
  5. Step 5: Solve for x
    x = 177,692,232,515,625/6,142,969
  6. Step 6: Final answer
    x = 28,926,115.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.