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Finding the Third Proportional to 3,025,471.50 and 6,554,965.50

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Solution

The third proportional to 3,025,471.50 and 6,554,965.50 is: 14,201,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025,471.50 : 6,554,965.50 = 6,554,965.50 : x
  2. Step 2: Convert to fraction form
    3,025,471.50/6,554,965.50 = 6,554,965.50/x
  3. Step 3: Cross multiply
    3,025,471.50x = 6,554,965.50 × 6,554,965.50
  4. Step 4: Simplify right side
    3,025,471.50x = 42,967,572,706,190.25
  5. Step 5: Solve for x
    x = 42,967,572,706,190.25/3,025,471.50
  6. Step 6: Final answer
    x = 14,201,942.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.