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Finding the Third Proportional to 3,274,343.37 and 6,888,007.76

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Solution

The third proportional to 3,274,343.37 and 6,888,007.76 is: 14,489,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,343.37 : 6,888,007.76 = 6,888,007.76 : x
  2. Step 2: Convert to fraction form
    3,274,343.37/6,888,007.76 = 6,888,007.76/x
  3. Step 3: Cross multiply
    3,274,343.37x = 6,888,007.76 × 6,888,007.76
  4. Step 4: Simplify right side
    3,274,343.37x = 47,444,650,871,685.19
  5. Step 5: Solve for x
    x = 47,444,650,871,685.19/3,274,343.37
  6. Step 6: Final answer
    x = 14,489,821.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.