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Finding the Third Proportional to 11,546,894.25 and 16,143,237.75

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Solution

The third proportional to 11,546,894.25 and 16,143,237.75 is: 22,569,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546,894.25 : 16,143,237.75 = 16,143,237.75 : x
  2. Step 2: Convert to fraction form
    11,546,894.25/16,143,237.75 = 16,143,237.75/x
  3. Step 3: Cross multiply
    11,546,894.25x = 16,143,237.75 × 16,143,237.75
  4. Step 4: Simplify right side
    11,546,894.25x = 260,604,125,053,025.06
  5. Step 5: Solve for x
    x = 260,604,125,053,025.06/11,546,894.25
  6. Step 6: Final answer
    x = 22,569,196.48

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.