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Finding the Third Proportional to 8,129,974 and 11,889,632

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Solution

The third proportional to 8,129,974 and 11,889,632 is: 17,387,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129,974 : 11,889,632 = 11,889,632 : x
  2. Step 2: Convert to fraction form
    8,129,974/11,889,632 = 11,889,632/x
  3. Step 3: Cross multiply
    8,129,974x = 11,889,632 × 11,889,632
  4. Step 4: Simplify right side
    8,129,974x = 141,363,349,095,424
  5. Step 5: Solve for x
    x = 141,363,349,095,424/8,129,974
  6. Step 6: Final answer
    x = 17,387,921.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.