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Finding the Third Proportional to 2,737,340,895 and 5,619,796,206

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Solution

The third proportional to 2,737,340,895 and 5,619,796,206 is: 11,537,514,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737,340,895 : 5,619,796,206 = 5,619,796,206 : x
  2. Step 2: Convert to fraction form
    2,737,340,895/5,619,796,206 = 5,619,796,206/x
  3. Step 3: Cross multiply
    2,737,340,895x = 5,619,796,206 × 5,619,796,206
  4. Step 4: Simplify right side
    2,737,340,895x = 31,582,109,396,971,995,136
  5. Step 5: Solve for x
    x = 31,582,109,396,971,995,136/2,737,340,895
  6. Step 6: Final answer
    x = 11,537,514,181.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.