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Finding the Third Proportional to 6,970,566 and 15,099,144

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Solution

The third proportional to 6,970,566 and 15,099,144 is: 32,706,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970,566 : 15,099,144 = 15,099,144 : x
  2. Step 2: Convert to fraction form
    6,970,566/15,099,144 = 15,099,144/x
  3. Step 3: Cross multiply
    6,970,566x = 15,099,144 × 15,099,144
  4. Step 4: Simplify right side
    6,970,566x = 227,984,149,532,736
  5. Step 5: Solve for x
    x = 227,984,149,532,736/6,970,566
  6. Step 6: Final answer
    x = 32,706,691.18

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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.