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Finding the Third Proportional to 10,642,191.75 and 23,271,849

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Solution

The third proportional to 10,642,191.75 and 23,271,849 is: 50,889,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,191.75 : 23,271,849 = 23,271,849 : x
  2. Step 2: Convert to fraction form
    10,642,191.75/23,271,849 = 23,271,849/x
  3. Step 3: Cross multiply
    10,642,191.75x = 23,271,849 × 23,271,849
  4. Step 4: Simplify right side
    10,642,191.75x = 541,578,955,878,801
  5. Step 5: Solve for x
    x = 541,578,955,878,801/10,642,191.75
  6. Step 6: Final answer
    x = 50,889,794.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.