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Finding the Third Proportional to 13,940,916 and 30,197,866.50

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Solution

The third proportional to 13,940,916 and 30,197,866.50 is: 65,412,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940,916 : 30,197,866.50 = 30,197,866.50 : x
  2. Step 2: Convert to fraction form
    13,940,916/30,197,866.50 = 30,197,866.50/x
  3. Step 3: Cross multiply
    13,940,916x = 30,197,866.50 × 30,197,866.50
  4. Step 4: Simplify right side
    13,940,916x = 911,911,141,151,822.25
  5. Step 5: Solve for x
    x = 911,911,141,151,822.25/13,940,916
  6. Step 6: Final answer
    x = 65,412,569.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.