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Finding the Third Proportional to 2,426,231 and 5,193,283

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Solution

The third proportional to 2,426,231 and 5,193,283 is: 11,116,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426,231 : 5,193,283 = 5,193,283 : x
  2. Step 2: Convert to fraction form
    2,426,231/5,193,283 = 5,193,283/x
  3. Step 3: Cross multiply
    2,426,231x = 5,193,283 × 5,193,283
  4. Step 4: Simplify right side
    2,426,231x = 26,970,188,318,089
  5. Step 5: Solve for x
    x = 26,970,188,318,089/2,426,231
  6. Step 6: Final answer
    x = 11,116,084.30

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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.