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Finding the Third Proportional to 12,103,317 and 18,190,447.13

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Solution

The third proportional to 12,103,317 and 18,190,447.13 is: 27,338,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103,317 : 18,190,447.13 = 18,190,447.13 : x
  2. Step 2: Convert to fraction form
    12,103,317/18,190,447.13 = 18,190,447.13/x
  3. Step 3: Cross multiply
    12,103,317x = 18,190,447.13 × 18,190,447.13
  4. Step 4: Simplify right side
    12,103,317x = 330,892,366,607,420.75
  5. Step 5: Solve for x
    x = 330,892,366,607,420.75/12,103,317
  6. Step 6: Final answer
    x = 27,338,982.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.