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Finding the Third Proportional to 1,036,138,742 and 2,253,819,945

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Solution

The third proportional to 1,036,138,742 and 2,253,819,945 is: 4,902,532,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,138,742 : 2,253,819,945 = 2,253,819,945 : x
  2. Step 2: Convert to fraction form
    1,036,138,742/2,253,819,945 = 2,253,819,945/x
  3. Step 3: Cross multiply
    1,036,138,742x = 2,253,819,945 × 2,253,819,945
  4. Step 4: Simplify right side
    1,036,138,742x = 5,079,704,344,479,803,392
  5. Step 5: Solve for x
    x = 5,079,704,344,479,803,392/1,036,138,742
  6. Step 6: Final answer
    x = 4,902,532,970.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.