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Finding the Third Proportional to 4,969,137.38 and 10,646,862.75

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Solution

The third proportional to 4,969,137.38 and 10,646,862.75 is: 22,811,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969,137.38 : 10,646,862.75 = 10,646,862.75 : x
  2. Step 2: Convert to fraction form
    4,969,137.38/10,646,862.75 = 10,646,862.75/x
  3. Step 3: Cross multiply
    4,969,137.38x = 10,646,862.75 × 10,646,862.75
  4. Step 4: Simplify right side
    4,969,137.38x = 113,355,686,417,337.56
  5. Step 5: Solve for x
    x = 113,355,686,417,337.56/4,969,137.38
  6. Step 6: Final answer
    x = 22,811,944.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.