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Finding the Third Proportional to 11,986,684 and 25,888,664

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Solution

The third proportional to 11,986,684 and 25,888,664 is: 55,913,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986,684 : 25,888,664 = 25,888,664 : x
  2. Step 2: Convert to fraction form
    11,986,684/25,888,664 = 25,888,664/x
  3. Step 3: Cross multiply
    11,986,684x = 25,888,664 × 25,888,664
  4. Step 4: Simplify right side
    11,986,684x = 670,222,923,704,896
  5. Step 5: Solve for x
    x = 670,222,923,704,896/11,986,684
  6. Step 6: Final answer
    x = 55,913,956.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.