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Finding the Third Proportional to 1,468,940,660 and 3,103,678,276

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Solution

The third proportional to 1,468,940,660 and 3,103,678,276 is: 6,557,663,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,940,660 : 3,103,678,276 = 3,103,678,276 : x
  2. Step 2: Convert to fraction form
    1,468,940,660/3,103,678,276 = 3,103,678,276/x
  3. Step 3: Cross multiply
    1,468,940,660x = 3,103,678,276 × 3,103,678,276
  4. Step 4: Simplify right side
    1,468,940,660x = 9,632,818,840,914,331,648
  5. Step 5: Solve for x
    x = 9,632,818,840,914,331,648/1,468,940,660
  6. Step 6: Final answer
    x = 6,557,663,698.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.