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Finding the Third Proportional to 2,737,340,914 and 5,619,796,244

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Solution

The third proportional to 2,737,340,914 and 5,619,796,244 is: 11,537,514,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737,340,914 : 5,619,796,244 = 5,619,796,244 : x
  2. Step 2: Convert to fraction form
    2,737,340,914/5,619,796,244 = 5,619,796,244/x
  3. Step 3: Cross multiply
    2,737,340,914x = 5,619,796,244 × 5,619,796,244
  4. Step 4: Simplify right side
    2,737,340,914x = 31,582,109,824,076,509,184
  5. Step 5: Solve for x
    x = 31,582,109,824,076,509,184/2,737,340,914
  6. Step 6: Final answer
    x = 11,537,514,257.93

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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.