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Finding the Third Proportional to 3,209,233 and 6,994,034

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Solution

The third proportional to 3,209,233 and 6,994,034 is: 15,242,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,233 : 6,994,034 = 6,994,034 : x
  2. Step 2: Convert to fraction form
    3,209,233/6,994,034 = 6,994,034/x
  3. Step 3: Cross multiply
    3,209,233x = 6,994,034 × 6,994,034
  4. Step 4: Simplify right side
    3,209,233x = 48,916,511,593,156
  5. Step 5: Solve for x
    x = 48,916,511,593,156/3,209,233
  6. Step 6: Final answer
    x = 15,242,430.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.