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Finding the Third Proportional to 1,993,908,042 and 4,338,921,438

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Solution

The third proportional to 1,993,908,042 and 4,338,921,438 is: 9,441,879,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,908,042 : 4,338,921,438 = 4,338,921,438 : x
  2. Step 2: Convert to fraction form
    1,993,908,042/4,338,921,438 = 4,338,921,438/x
  3. Step 3: Cross multiply
    1,993,908,042x = 4,338,921,438 × 4,338,921,438
  4. Step 4: Simplify right side
    1,993,908,042x = 18,826,239,245,135,986,688
  5. Step 5: Solve for x
    x = 18,826,239,245,135,986,688/1,993,908,042
  6. Step 6: Final answer
    x = 9,441,879,388.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.