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Finding the Third Proportional to 5,864,163 and 12,213,698.06

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Solution

The third proportional to 5,864,163 and 12,213,698.06 is: 25,438,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864,163 : 12,213,698.06 = 12,213,698.06 : x
  2. Step 2: Convert to fraction form
    5,864,163/12,213,698.06 = 12,213,698.06/x
  3. Step 3: Cross multiply
    5,864,163x = 12,213,698.06 × 12,213,698.06
  4. Step 4: Simplify right side
    5,864,163x = 149,174,420,361,916.25
  5. Step 5: Solve for x
    x = 149,174,420,361,916.25/5,864,163
  6. Step 6: Final answer
    x = 25,438,314.11

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.