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Finding the Third Proportional to 5,819,508 and 12,646,294

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Solution

The third proportional to 5,819,508 and 12,646,294 is: 27,481,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819,508 : 12,646,294 = 12,646,294 : x
  2. Step 2: Convert to fraction form
    5,819,508/12,646,294 = 12,646,294/x
  3. Step 3: Cross multiply
    5,819,508x = 12,646,294 × 12,646,294
  4. Step 4: Simplify right side
    5,819,508x = 159,928,751,934,436
  5. Step 5: Solve for x
    x = 159,928,751,934,436/5,819,508
  6. Step 6: Final answer
    x = 27,481,490.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.