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Finding the Third Proportional to 10,321,200 and 14,435,920

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Solution

The third proportional to 10,321,200 and 14,435,920 is: 20,191,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321,200 : 14,435,920 = 14,435,920 : x
  2. Step 2: Convert to fraction form
    10,321,200/14,435,920 = 14,435,920/x
  3. Step 3: Cross multiply
    10,321,200x = 14,435,920 × 14,435,920
  4. Step 4: Simplify right side
    10,321,200x = 208,395,786,246,400
  5. Step 5: Solve for x
    x = 208,395,786,246,400/10,321,200
  6. Step 6: Final answer
    x = 20,191,042.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.