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Finding the Third Proportional to 1,146,227,340 and 2,455,922,544

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Solution

The third proportional to 1,146,227,340 and 2,455,922,544 is: 5,262,093,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,227,340 : 2,455,922,544 = 2,455,922,544 : x
  2. Step 2: Convert to fraction form
    1,146,227,340/2,455,922,544 = 2,455,922,544/x
  3. Step 3: Cross multiply
    1,146,227,340x = 2,455,922,544 × 2,455,922,544
  4. Step 4: Simplify right side
    1,146,227,340x = 6,031,555,542,127,431,680
  5. Step 5: Solve for x
    x = 6,031,555,542,127,431,680/1,146,227,340
  6. Step 6: Final answer
    x = 5,262,093,593.17

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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.