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Finding the Third Proportional to 4,338,357,029 and 6,109,362,694

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Solution

The third proportional to 4,338,357,029 and 6,109,362,694 is: 8,603,328,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338,357,029 : 6,109,362,694 = 6,109,362,694 : x
  2. Step 2: Convert to fraction form
    4,338,357,029/6,109,362,694 = 6,109,362,694/x
  3. Step 3: Cross multiply
    4,338,357,029x = 6,109,362,694 × 6,109,362,694
  4. Step 4: Simplify right side
    4,338,357,029x = 37,324,312,526,838,939,648
  5. Step 5: Solve for x
    x = 37,324,312,526,838,939,648/4,338,357,029
  6. Step 6: Final answer
    x = 8,603,328,927.83

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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.