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Finding the Third Proportional to 14,469,424 and 31,455,680

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Solution

The third proportional to 14,469,424 and 31,455,680 is: 68,382,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469,424 : 31,455,680 = 31,455,680 : x
  2. Step 2: Convert to fraction form
    14,469,424/31,455,680 = 31,455,680/x
  3. Step 3: Cross multiply
    14,469,424x = 31,455,680 × 31,455,680
  4. Step 4: Simplify right side
    14,469,424x = 989,459,804,262,400
  5. Step 5: Solve for x
    x = 989,459,804,262,400/14,469,424
  6. Step 6: Final answer
    x = 68,382,805.30

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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.