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Finding the Third Proportional to 5,787,201 and 8,463,510

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Solution

The third proportional to 5,787,201 and 8,463,510 is: 12,377,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787,201 : 8,463,510 = 8,463,510 : x
  2. Step 2: Convert to fraction form
    5,787,201/8,463,510 = 8,463,510/x
  3. Step 3: Cross multiply
    5,787,201x = 8,463,510 × 8,463,510
  4. Step 4: Simplify right side
    5,787,201x = 71,631,001,520,100
  5. Step 5: Solve for x
    x = 71,631,001,520,100/5,787,201
  6. Step 6: Final answer
    x = 12,377,486.37

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.