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Finding the Third Proportional to 2,407,944,828 and 3,683,885,980

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Solution

The third proportional to 2,407,944,828 and 3,683,885,980 is: 5,635,933,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,944,828 : 3,683,885,980 = 3,683,885,980 : x
  2. Step 2: Convert to fraction form
    2,407,944,828/3,683,885,980 = 3,683,885,980/x
  3. Step 3: Cross multiply
    2,407,944,828x = 3,683,885,980 × 3,683,885,980
  4. Step 4: Simplify right side
    2,407,944,828x = 13,571,015,913,640,560,640
  5. Step 5: Solve for x
    x = 13,571,015,913,640,560,640/2,407,944,828
  6. Step 6: Final answer
    x = 5,635,933,081.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.