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Finding the Third Proportional to 7,307,165 and 10,215,849

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Solution

The third proportional to 7,307,165 and 10,215,849 is: 14,282,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307,165 : 10,215,849 = 10,215,849 : x
  2. Step 2: Convert to fraction form
    7,307,165/10,215,849 = 10,215,849/x
  3. Step 3: Cross multiply
    7,307,165x = 10,215,849 × 10,215,849
  4. Step 4: Simplify right side
    7,307,165x = 104,363,570,790,801
  5. Step 5: Solve for x
    x = 104,363,570,790,801/7,307,165
  6. Step 6: Final answer
    x = 14,282,361.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.