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Finding the Third Proportional to 6,522,384 and 13,834,031

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Solution

The third proportional to 6,522,384 and 13,834,031 is: 29,342,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522,384 : 13,834,031 = 13,834,031 : x
  2. Step 2: Convert to fraction form
    6,522,384/13,834,031 = 13,834,031/x
  3. Step 3: Cross multiply
    6,522,384x = 13,834,031 × 13,834,031
  4. Step 4: Simplify right side
    6,522,384x = 191,380,413,708,961
  5. Step 5: Solve for x
    x = 191,380,413,708,961/6,522,384
  6. Step 6: Final answer
    x = 29,342,095.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.