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Finding the Third Proportional to 15,746,811 and 22,517,965.50

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Solution

The third proportional to 15,746,811 and 22,517,965.50 is: 32,200,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746,811 : 22,517,965.50 = 22,517,965.50 : x
  2. Step 2: Convert to fraction form
    15,746,811/22,517,965.50 = 22,517,965.50/x
  3. Step 3: Cross multiply
    15,746,811x = 22,517,965.50 × 22,517,965.50
  4. Step 4: Simplify right side
    15,746,811x = 507,058,770,259,190.25
  5. Step 5: Solve for x
    x = 507,058,770,259,190.25/15,746,811
  6. Step 6: Final answer
    x = 32,200,727.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.