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Finding the Third Proportional to 6,967,811 and 15,003,424.50

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Solution

The third proportional to 6,967,811 and 15,003,424.50 is: 32,306,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967,811 : 15,003,424.50 = 15,003,424.50 : x
  2. Step 2: Convert to fraction form
    6,967,811/15,003,424.50 = 15,003,424.50/x
  3. Step 3: Cross multiply
    6,967,811x = 15,003,424.50 × 15,003,424.50
  4. Step 4: Simplify right side
    6,967,811x = 225,102,746,727,200.25
  5. Step 5: Solve for x
    x = 225,102,746,727,200.25/6,967,811
  6. Step 6: Final answer
    x = 32,306,092.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.