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Finding the Third Proportional to 6,611,843.25 and 10,216,982.25

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Solution

The third proportional to 6,611,843.25 and 10,216,982.25 is: 15,787,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611,843.25 : 10,216,982.25 = 10,216,982.25 : x
  2. Step 2: Convert to fraction form
    6,611,843.25/10,216,982.25 = 10,216,982.25/x
  3. Step 3: Cross multiply
    6,611,843.25x = 10,216,982.25 × 10,216,982.25
  4. Step 4: Simplify right side
    6,611,843.25x = 104,386,726,296,815.06
  5. Step 5: Solve for x
    x = 104,386,726,296,815.06/6,611,843.25
  6. Step 6: Final answer
    x = 15,787,840.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.