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Finding the Third Proportional to 5,200,878 and 7,746,234

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Solution

The third proportional to 5,200,878 and 7,746,234 is: 11,537,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,878 : 7,746,234 = 7,746,234 : x
  2. Step 2: Convert to fraction form
    5,200,878/7,746,234 = 7,746,234/x
  3. Step 3: Cross multiply
    5,200,878x = 7,746,234 × 7,746,234
  4. Step 4: Simplify right side
    5,200,878x = 60,004,141,182,756
  5. Step 5: Solve for x
    x = 60,004,141,182,756/5,200,878
  6. Step 6: Final answer
    x = 11,537,309.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.