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Finding the Third Proportional to 7,612,416 and 10,368,576

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Solution

The third proportional to 7,612,416 and 10,368,576 is: 14,122,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,416 : 10,368,576 = 10,368,576 : x
  2. Step 2: Convert to fraction form
    7,612,416/10,368,576 = 10,368,576/x
  3. Step 3: Cross multiply
    7,612,416x = 10,368,576 × 10,368,576
  4. Step 4: Simplify right side
    7,612,416x = 107,507,368,267,776
  5. Step 5: Solve for x
    x = 107,507,368,267,776/7,612,416
  6. Step 6: Final answer
    x = 14,122,634.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.