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Finding the Third Proportional to 3,303,697.50 and 6,785,262

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Solution

The third proportional to 3,303,697.50 and 6,785,262 is: 13,935,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303,697.50 : 6,785,262 = 6,785,262 : x
  2. Step 2: Convert to fraction form
    3,303,697.50/6,785,262 = 6,785,262/x
  3. Step 3: Cross multiply
    3,303,697.50x = 6,785,262 × 6,785,262
  4. Step 4: Simplify right side
    3,303,697.50x = 46,039,780,408,644
  5. Step 5: Solve for x
    x = 46,039,780,408,644/3,303,697.50
  6. Step 6: Final answer
    x = 13,935,834.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.