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Finding the Third Proportional to 1,036,138,742 and 2,253,819,946

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Solution

The third proportional to 1,036,138,742 and 2,253,819,946 is: 4,902,532,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,138,742 : 2,253,819,946 = 2,253,819,946 : x
  2. Step 2: Convert to fraction form
    1,036,138,742/2,253,819,946 = 2,253,819,946/x
  3. Step 3: Cross multiply
    1,036,138,742x = 2,253,819,946 × 2,253,819,946
  4. Step 4: Simplify right side
    1,036,138,742x = 5,079,704,348,987,443,200
  5. Step 5: Solve for x
    x = 5,079,704,348,987,443,200/1,036,138,742
  6. Step 6: Final answer
    x = 4,902,532,974.67

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