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Finding the Third Proportional to 10,642,182.75 and 23,271,831

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Solution

The third proportional to 10,642,182.75 and 23,271,831 is: 50,889,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,182.75 : 23,271,831 = 23,271,831 : x
  2. Step 2: Convert to fraction form
    10,642,182.75/23,271,831 = 23,271,831/x
  3. Step 3: Cross multiply
    10,642,182.75x = 23,271,831 × 23,271,831
  4. Step 4: Simplify right side
    10,642,182.75x = 541,578,118,092,561
  5. Step 5: Solve for x
    x = 541,578,118,092,561/10,642,182.75
  6. Step 6: Final answer
    x = 50,889,759.25

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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.