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Finding the Third Proportional to 8,260,812 and 17,506,296

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Solution

The third proportional to 8,260,812 and 17,506,296 is: 37,099,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260,812 : 17,506,296 = 17,506,296 : x
  2. Step 2: Convert to fraction form
    8,260,812/17,506,296 = 17,506,296/x
  3. Step 3: Cross multiply
    8,260,812x = 17,506,296 × 17,506,296
  4. Step 4: Simplify right side
    8,260,812x = 306,470,399,639,616
  5. Step 5: Solve for x
    x = 306,470,399,639,616/8,260,812
  6. Step 6: Final answer
    x = 37,099,306.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.