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Finding the Third Proportional to 4,396,097.81 and 6,640,083.84

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Solution

The third proportional to 4,396,097.81 and 6,640,083.84 is: 10,029,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396,097.81 : 6,640,083.84 = 6,640,083.84 : x
  2. Step 2: Convert to fraction form
    4,396,097.81/6,640,083.84 = 6,640,083.84/x
  3. Step 3: Cross multiply
    4,396,097.81x = 6,640,083.84 × 6,640,083.84
  4. Step 4: Simplify right side
    4,396,097.81x = 44,090,713,452,029.77
  5. Step 5: Solve for x
    x = 44,090,713,452,029.77/4,396,097.81
  6. Step 6: Final answer
    x = 10,029,511.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.