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Finding the Third Proportional to 10,451,784.38 and 24,593,868

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Solution

The third proportional to 10,451,784.38 and 24,593,868 is: 57,871,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451,784.38 : 24,593,868 = 24,593,868 : x
  2. Step 2: Convert to fraction form
    10,451,784.38/24,593,868 = 24,593,868/x
  3. Step 3: Cross multiply
    10,451,784.38x = 24,593,868 × 24,593,868
  4. Step 4: Simplify right side
    10,451,784.38x = 604,858,343,201,424
  5. Step 5: Solve for x
    x = 604,858,343,201,424/10,451,784.38
  6. Step 6: Final answer
    x = 57,871,299.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.