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Finding the Third Proportional to 54,467,820 and 117,543,212

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Solution

The third proportional to 54,467,820 and 117,543,212 is: 253,661,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,467,820 : 117,543,212 = 117,543,212 : x
  2. Step 2: Convert to fraction form
    54,467,820/117,543,212 = 117,543,212/x
  3. Step 3: Cross multiply
    54,467,820x = 117,543,212 × 117,543,212
  4. Step 4: Simplify right side
    54,467,820x = 13,816,406,687,276,944
  5. Step 5: Solve for x
    x = 13,816,406,687,276,944/54,467,820
  6. Step 6: Final answer
    x = 253,661,826.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.