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Finding the Third Proportional to 4,823,540 and 7,678,110

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Solution

The third proportional to 4,823,540 and 7,678,110 is: 12,222,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823,540 : 7,678,110 = 7,678,110 : x
  2. Step 2: Convert to fraction form
    4,823,540/7,678,110 = 7,678,110/x
  3. Step 3: Cross multiply
    4,823,540x = 7,678,110 × 7,678,110
  4. Step 4: Simplify right side
    4,823,540x = 58,953,373,172,100
  5. Step 5: Solve for x
    x = 58,953,373,172,100/4,823,540
  6. Step 6: Final answer
    x = 12,222,013.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.