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Finding the Third Proportional to 8,097,936 and 12,417,561

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Solution

The third proportional to 8,097,936 and 12,417,561 is: 19,041,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097,936 : 12,417,561 = 12,417,561 : x
  2. Step 2: Convert to fraction form
    8,097,936/12,417,561 = 12,417,561/x
  3. Step 3: Cross multiply
    8,097,936x = 12,417,561 × 12,417,561
  4. Step 4: Simplify right side
    8,097,936x = 154,195,821,188,721
  5. Step 5: Solve for x
    x = 154,195,821,188,721/8,097,936
  6. Step 6: Final answer
    x = 19,041,373.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.