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Finding the Third Proportional to 5,342,238 and 12,598,191

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Solution

The third proportional to 5,342,238 and 12,598,191 is: 29,709,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342,238 : 12,598,191 = 12,598,191 : x
  2. Step 2: Convert to fraction form
    5,342,238/12,598,191 = 12,598,191/x
  3. Step 3: Cross multiply
    5,342,238x = 12,598,191 × 12,598,191
  4. Step 4: Simplify right side
    5,342,238x = 158,714,416,472,481
  5. Step 5: Solve for x
    x = 158,714,416,472,481/5,342,238
  6. Step 6: Final answer
    x = 29,709,349.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.