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Finding the Third Proportional to 11,180,712.87 and 23,650,546.90

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Solution

The third proportional to 11,180,712.87 and 23,650,546.90 is: 50,027,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180,712.87 : 23,650,546.90 = 23,650,546.90 : x
  2. Step 2: Convert to fraction form
    11,180,712.87/23,650,546.90 = 23,650,546.90/x
  3. Step 3: Cross multiply
    11,180,712.87x = 23,650,546.90 × 23,650,546.90
  4. Step 4: Simplify right side
    11,180,712.87x = 559,348,368,872,352.50
  5. Step 5: Solve for x
    x = 559,348,368,872,352.50/11,180,712.87
  6. Step 6: Final answer
    x = 50,027,970.09

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Why These Related Problems?

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