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Finding the Third Proportional to 7,744,920 and 16,833,144

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Solution

The third proportional to 7,744,920 and 16,833,144 is: 36,585,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744,920 : 16,833,144 = 16,833,144 : x
  2. Step 2: Convert to fraction form
    7,744,920/16,833,144 = 16,833,144/x
  3. Step 3: Cross multiply
    7,744,920x = 16,833,144 × 16,833,144
  4. Step 4: Simplify right side
    7,744,920x = 283,354,736,924,736
  5. Step 5: Solve for x
    x = 283,354,736,924,736/7,744,920
  6. Step 6: Final answer
    x = 36,585,882.99

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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.