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Finding the Third Proportional to 14,907,438 and 31,940,649

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Solution

The third proportional to 14,907,438 and 31,940,649 is: 68,435,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907,438 : 31,940,649 = 31,940,649 : x
  2. Step 2: Convert to fraction form
    14,907,438/31,940,649 = 31,940,649/x
  3. Step 3: Cross multiply
    14,907,438x = 31,940,649 × 31,940,649
  4. Step 4: Simplify right side
    14,907,438x = 1,020,205,058,541,201
  5. Step 5: Solve for x
    x = 1,020,205,058,541,201/14,907,438
  6. Step 6: Final answer
    x = 68,435,975.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.