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Finding the Third Proportional to 7,431,993 and 10,861,209

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Solution

The third proportional to 7,431,993 and 10,861,209 is: 15,872,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431,993 : 10,861,209 = 10,861,209 : x
  2. Step 2: Convert to fraction form
    7,431,993/10,861,209 = 10,861,209/x
  3. Step 3: Cross multiply
    7,431,993x = 10,861,209 × 10,861,209
  4. Step 4: Simplify right side
    7,431,993x = 117,965,860,941,681
  5. Step 5: Solve for x
    x = 117,965,860,941,681/7,431,993
  6. Step 6: Final answer
    x = 15,872,708.83

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Why These Related Problems?

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