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Finding the Third Proportional to 14,179,986 and 31,014,180

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Solution

The third proportional to 14,179,986 and 31,014,180 is: 67,833,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,179,986 : 31,014,180 = 31,014,180 : x
  2. Step 2: Convert to fraction form
    14,179,986/31,014,180 = 31,014,180/x
  3. Step 3: Cross multiply
    14,179,986x = 31,014,180 × 31,014,180
  4. Step 4: Simplify right side
    14,179,986x = 961,879,361,072,400
  5. Step 5: Solve for x
    x = 961,879,361,072,400/14,179,986
  6. Step 6: Final answer
    x = 67,833,590.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.