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Finding the Third Proportional to 11,386,496 and 24,794,600.50

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Solution

The third proportional to 11,386,496 and 24,794,600.50 is: 53,991,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386,496 : 24,794,600.50 = 24,794,600.50 : x
  2. Step 2: Convert to fraction form
    11,386,496/24,794,600.50 = 24,794,600.50/x
  3. Step 3: Cross multiply
    11,386,496x = 24,794,600.50 × 24,794,600.50
  4. Step 4: Simplify right side
    11,386,496x = 614,772,213,954,600.25
  5. Step 5: Solve for x
    x = 614,772,213,954,600.25/11,386,496
  6. Step 6: Final answer
    x = 53,991,343.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.