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Finding the Third Proportional to 1,036,138,738 and 2,253,819,937

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Solution

The third proportional to 1,036,138,738 and 2,253,819,937 is: 4,902,532,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,138,738 : 2,253,819,937 = 2,253,819,937 : x
  2. Step 2: Convert to fraction form
    1,036,138,738/2,253,819,937 = 2,253,819,937/x
  3. Step 3: Cross multiply
    1,036,138,738x = 2,253,819,937 × 2,253,819,937
  4. Step 4: Simplify right side
    1,036,138,738x = 5,079,704,308,418,683,904
  5. Step 5: Solve for x
    x = 5,079,704,308,418,683,904/1,036,138,738
  6. Step 6: Final answer
    x = 4,902,532,954.44

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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.