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Finding the Third Proportional to 5,381,570 and 8,271,640

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Solution

The third proportional to 5,381,570 and 8,271,640 is: 12,713,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381,570 : 8,271,640 = 8,271,640 : x
  2. Step 2: Convert to fraction form
    5,381,570/8,271,640 = 8,271,640/x
  3. Step 3: Cross multiply
    5,381,570x = 8,271,640 × 8,271,640
  4. Step 4: Simplify right side
    5,381,570x = 68,420,028,289,600
  5. Step 5: Solve for x
    x = 68,420,028,289,600/5,381,570
  6. Step 6: Final answer
    x = 12,713,767.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.