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Finding the Third Proportional to 11,611,706 and 24,607,754

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Solution

The third proportional to 11,611,706 and 24,607,754 is: 52,149,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611,706 : 24,607,754 = 24,607,754 : x
  2. Step 2: Convert to fraction form
    11,611,706/24,607,754 = 24,607,754/x
  3. Step 3: Cross multiply
    11,611,706x = 24,607,754 × 24,607,754
  4. Step 4: Simplify right side
    11,611,706x = 605,541,556,924,516
  5. Step 5: Solve for x
    x = 605,541,556,924,516/11,611,706
  6. Step 6: Final answer
    x = 52,149,232.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.