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Finding the Third Proportional to 5,942,178 and 13,023,510

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Solution

The third proportional to 5,942,178 and 13,023,510 is: 28,543,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942,178 : 13,023,510 = 13,023,510 : x
  2. Step 2: Convert to fraction form
    5,942,178/13,023,510 = 13,023,510/x
  3. Step 3: Cross multiply
    5,942,178x = 13,023,510 × 13,023,510
  4. Step 4: Simplify right side
    5,942,178x = 169,611,812,720,100
  5. Step 5: Solve for x
    x = 169,611,812,720,100/5,942,178
  6. Step 6: Final answer
    x = 28,543,711.20

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.