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Finding the Third Proportional to 3,297,210 and 6,948,660

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Solution

The third proportional to 3,297,210 and 6,948,660 is: 14,643,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,210 : 6,948,660 = 6,948,660 : x
  2. Step 2: Convert to fraction form
    3,297,210/6,948,660 = 6,948,660/x
  3. Step 3: Cross multiply
    3,297,210x = 6,948,660 × 6,948,660
  4. Step 4: Simplify right side
    3,297,210x = 48,283,875,795,600
  5. Step 5: Solve for x
    x = 48,283,875,795,600/3,297,210
  6. Step 6: Final answer
    x = 14,643,858.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.