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Finding the Third Proportional to 4,281,676 and 7,029,012

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Solution

The third proportional to 4,281,676 and 7,029,012 is: 11,539,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281,676 : 7,029,012 = 7,029,012 : x
  2. Step 2: Convert to fraction form
    4,281,676/7,029,012 = 7,029,012/x
  3. Step 3: Cross multiply
    4,281,676x = 7,029,012 × 7,029,012
  4. Step 4: Simplify right side
    4,281,676x = 49,407,009,696,144
  5. Step 5: Solve for x
    x = 49,407,009,696,144/4,281,676
  6. Step 6: Final answer
    x = 11,539,175.24

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.