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Finding the Third Proportional to 13,155,976 and 31,694,224

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Solution

The third proportional to 13,155,976 and 31,694,224 is: 76,354,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,155,976 : 31,694,224 = 31,694,224 : x
  2. Step 2: Convert to fraction form
    13,155,976/31,694,224 = 31,694,224/x
  3. Step 3: Cross multiply
    13,155,976x = 31,694,224 × 31,694,224
  4. Step 4: Simplify right side
    13,155,976x = 1,004,523,834,962,176
  5. Step 5: Solve for x
    x = 1,004,523,834,962,176/13,155,976
  6. Step 6: Final answer
    x = 76,354,945.84

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.