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Finding the Third Proportional to 3,037,698 and 6,468,036

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Solution

The third proportional to 3,037,698 and 6,468,036 is: 13,772,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037,698 : 6,468,036 = 6,468,036 : x
  2. Step 2: Convert to fraction form
    3,037,698/6,468,036 = 6,468,036/x
  3. Step 3: Cross multiply
    3,037,698x = 6,468,036 × 6,468,036
  4. Step 4: Simplify right side
    3,037,698x = 41,835,489,697,296
  5. Step 5: Solve for x
    x = 41,835,489,697,296/3,037,698
  6. Step 6: Final answer
    x = 13,772,102.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.