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Finding the Third Proportional to 5,758,074 and 12,313,188

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Solution

The third proportional to 5,758,074 and 12,313,188 is: 26,330,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758,074 : 12,313,188 = 12,313,188 : x
  2. Step 2: Convert to fraction form
    5,758,074/12,313,188 = 12,313,188/x
  3. Step 3: Cross multiply
    5,758,074x = 12,313,188 × 12,313,188
  4. Step 4: Simplify right side
    5,758,074x = 151,614,598,723,344
  5. Step 5: Solve for x
    x = 151,614,598,723,344/5,758,074
  6. Step 6: Final answer
    x = 26,330,783.30

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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.