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Finding the Third Proportional to 3,622,503,172 and 5,412,098,112

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Solution

The third proportional to 3,622,503,172 and 5,412,098,112 is: 8,085,791,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622,503,172 : 5,412,098,112 = 5,412,098,112 : x
  2. Step 2: Convert to fraction form
    3,622,503,172/5,412,098,112 = 5,412,098,112/x
  3. Step 3: Cross multiply
    3,622,503,172x = 5,412,098,112 × 5,412,098,112
  4. Step 4: Simplify right side
    3,622,503,172x = 29,290,805,973,913,964,544
  5. Step 5: Solve for x
    x = 29,290,805,973,913,964,544/3,622,503,172
  6. Step 6: Final answer
    x = 8,085,791,670.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.