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Finding the Third Proportional to 1,844,376,685 and 3,952,348,105

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Solution

The third proportional to 1,844,376,685 and 3,952,348,105 is: 8,469,558,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844,376,685 : 3,952,348,105 = 3,952,348,105 : x
  2. Step 2: Convert to fraction form
    1,844,376,685/3,952,348,105 = 3,952,348,105/x
  3. Step 3: Cross multiply
    1,844,376,685x = 3,952,348,105 × 3,952,348,105
  4. Step 4: Simplify right side
    1,844,376,685x = 15,621,055,543,097,090,048
  5. Step 5: Solve for x
    x = 15,621,055,543,097,090,048/1,844,376,685
  6. Step 6: Final answer
    x = 8,469,558,127.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.