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Finding the Third Proportional to 3,838,296 and 8,208,034

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Solution

The third proportional to 3,838,296 and 8,208,034 is: 17,552,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,296 : 8,208,034 = 8,208,034 : x
  2. Step 2: Convert to fraction form
    3,838,296/8,208,034 = 8,208,034/x
  3. Step 3: Cross multiply
    3,838,296x = 8,208,034 × 8,208,034
  4. Step 4: Simplify right side
    3,838,296x = 67,371,822,145,156
  5. Step 5: Solve for x
    x = 67,371,822,145,156/3,838,296
  6. Step 6: Final answer
    x = 17,552,534.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.