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Finding the Third Proportional to 9,637,512 and 14,922,828

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Solution

The third proportional to 9,637,512 and 14,922,828 is: 23,106,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637,512 : 14,922,828 = 14,922,828 : x
  2. Step 2: Convert to fraction form
    9,637,512/14,922,828 = 14,922,828/x
  3. Step 3: Cross multiply
    9,637,512x = 14,922,828 × 14,922,828
  4. Step 4: Simplify right side
    9,637,512x = 222,690,795,517,584
  5. Step 5: Solve for x
    x = 222,690,795,517,584/9,637,512
  6. Step 6: Final answer
    x = 23,106,668.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.