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Finding the Third Proportional to 7,097,733 and 15,441,031

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Solution

The third proportional to 7,097,733 and 15,441,031 is: 33,591,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097,733 : 15,441,031 = 15,441,031 : x
  2. Step 2: Convert to fraction form
    7,097,733/15,441,031 = 15,441,031/x
  3. Step 3: Cross multiply
    7,097,733x = 15,441,031 × 15,441,031
  4. Step 4: Simplify right side
    7,097,733x = 238,425,438,342,961
  5. Step 5: Solve for x
    x = 238,425,438,342,961/7,097,733
  6. Step 6: Final answer
    x = 33,591,773.37

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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.