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Finding the Third Proportional to 8,097,384 and 12,229,728

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Solution

The third proportional to 8,097,384 and 12,229,728 is: 18,470,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097,384 : 12,229,728 = 12,229,728 : x
  2. Step 2: Convert to fraction form
    8,097,384/12,229,728 = 12,229,728/x
  3. Step 3: Cross multiply
    8,097,384x = 12,229,728 × 12,229,728
  4. Step 4: Simplify right side
    8,097,384x = 149,566,246,953,984
  5. Step 5: Solve for x
    x = 149,566,246,953,984/8,097,384
  6. Step 6: Final answer
    x = 18,470,934.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.