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Finding the Third Proportional to 6,866,268.75 and 10,622,264.06

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Solution

The third proportional to 6,866,268.75 and 10,622,264.06 is: 16,432,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866,268.75 : 10,622,264.06 = 10,622,264.06 : x
  2. Step 2: Convert to fraction form
    6,866,268.75/10,622,264.06 = 10,622,264.06/x
  3. Step 3: Cross multiply
    6,866,268.75x = 10,622,264.06 × 10,622,264.06
  4. Step 4: Simplify right side
    6,866,268.75x = 112,832,493,813,479
  5. Step 5: Solve for x
    x = 112,832,493,813,479/6,866,268.75
  6. Step 6: Final answer
    x = 16,432,868.84

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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.