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Finding the Third Proportional to 7,345,734 and 15,871,800

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Solution

The third proportional to 7,345,734 and 15,871,800 is: 34,293,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345,734 : 15,871,800 = 15,871,800 : x
  2. Step 2: Convert to fraction form
    7,345,734/15,871,800 = 15,871,800/x
  3. Step 3: Cross multiply
    7,345,734x = 15,871,800 × 15,871,800
  4. Step 4: Simplify right side
    7,345,734x = 251,914,035,240,000
  5. Step 5: Solve for x
    x = 251,914,035,240,000/7,345,734
  6. Step 6: Final answer
    x = 34,293,922.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.