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Finding the Third Proportional to 4,338,357,144 and 6,109,362,846

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Solution

The third proportional to 4,338,357,144 and 6,109,362,846 is: 8,603,329,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338,357,144 : 6,109,362,846 = 6,109,362,846 : x
  2. Step 2: Convert to fraction form
    4,338,357,144/6,109,362,846 = 6,109,362,846/x
  3. Step 3: Cross multiply
    4,338,357,144x = 6,109,362,846 × 6,109,362,846
  4. Step 4: Simplify right side
    4,338,357,144x = 37,324,314,384,085,221,376
  5. Step 5: Solve for x
    x = 37,324,314,384,085,221,376/4,338,357,144
  6. Step 6: Final answer
    x = 8,603,329,127.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.