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Finding the Third Proportional to 1,231,956,608 and 2,739,358,144

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Solution

The third proportional to 1,231,956,608 and 2,739,358,144 is: 6,091,191,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,956,608 : 2,739,358,144 = 2,739,358,144 : x
  2. Step 2: Convert to fraction form
    1,231,956,608/2,739,358,144 = 2,739,358,144/x
  3. Step 3: Cross multiply
    1,231,956,608x = 2,739,358,144 × 2,739,358,144
  4. Step 4: Simplify right side
    1,231,956,608x = 7,504,083,041,099,124,736
  5. Step 5: Solve for x
    x = 7,504,083,041,099,124,736/1,231,956,608
  6. Step 6: Final answer
    x = 6,091,191,030.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.