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Finding the Third Proportional to 7,399,234 and 16,143,081

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Solution

The third proportional to 7,399,234 and 16,143,081 is: 35,219,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399,234 : 16,143,081 = 16,143,081 : x
  2. Step 2: Convert to fraction form
    7,399,234/16,143,081 = 16,143,081/x
  3. Step 3: Cross multiply
    7,399,234x = 16,143,081 × 16,143,081
  4. Step 4: Simplify right side
    7,399,234x = 260,599,064,172,561
  5. Step 5: Solve for x
    x = 260,599,064,172,561/7,399,234
  6. Step 6: Final answer
    x = 35,219,735.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.