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Finding the Third Proportional to 7,057,125 and 15,309,162

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Solution

The third proportional to 7,057,125 and 15,309,162 is: 33,210,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057,125 : 15,309,162 = 15,309,162 : x
  2. Step 2: Convert to fraction form
    7,057,125/15,309,162 = 15,309,162/x
  3. Step 3: Cross multiply
    7,057,125x = 15,309,162 × 15,309,162
  4. Step 4: Simplify right side
    7,057,125x = 234,370,441,142,244
  5. Step 5: Solve for x
    x = 234,370,441,142,244/7,057,125
  6. Step 6: Final answer
    x = 33,210,470.43

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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.