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Finding the Third Proportional to 8,255,974 and 12,141,296

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Solution

The third proportional to 8,255,974 and 12,141,296 is: 17,855,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255,974 : 12,141,296 = 12,141,296 : x
  2. Step 2: Convert to fraction form
    8,255,974/12,141,296 = 12,141,296/x
  3. Step 3: Cross multiply
    8,255,974x = 12,141,296 × 12,141,296
  4. Step 4: Simplify right side
    8,255,974x = 147,411,068,559,616
  5. Step 5: Solve for x
    x = 147,411,068,559,616/8,255,974
  6. Step 6: Final answer
    x = 17,855,079.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.