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Finding the Third Proportional to 24,100,106 and 52,976,620

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Solution

The third proportional to 24,100,106 and 52,976,620 is: 116,452,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100,106 : 52,976,620 = 52,976,620 : x
  2. Step 2: Convert to fraction form
    24,100,106/52,976,620 = 52,976,620/x
  3. Step 3: Cross multiply
    24,100,106x = 52,976,620 × 52,976,620
  4. Step 4: Simplify right side
    24,100,106x = 2,806,522,266,624,400
  5. Step 5: Solve for x
    x = 2,806,522,266,624,400/24,100,106
  6. Step 6: Final answer
    x = 116,452,693.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.