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Finding the Third Proportional to 7,097,736 and 15,441,036

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Solution

The third proportional to 7,097,736 and 15,441,036 is: 33,591,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097,736 : 15,441,036 = 15,441,036 : x
  2. Step 2: Convert to fraction form
    7,097,736/15,441,036 = 15,441,036/x
  3. Step 3: Cross multiply
    7,097,736x = 15,441,036 × 15,441,036
  4. Step 4: Simplify right side
    7,097,736x = 238,425,592,753,296
  5. Step 5: Solve for x
    x = 238,425,592,753,296/7,097,736
  6. Step 6: Final answer
    x = 33,591,780.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.