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Finding the Third Proportional to 2,010,430,512 and 3,100,432,728

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Solution

The third proportional to 2,010,430,512 and 3,100,432,728 is: 4,781,405,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,430,512 : 3,100,432,728 = 3,100,432,728 : x
  2. Step 2: Convert to fraction form
    2,010,430,512/3,100,432,728 = 3,100,432,728/x
  3. Step 3: Cross multiply
    2,010,430,512x = 3,100,432,728 × 3,100,432,728
  4. Step 4: Simplify right side
    2,010,430,512x = 9,612,683,100,853,522,432
  5. Step 5: Solve for x
    x = 9,612,683,100,853,522,432/2,010,430,512
  6. Step 6: Final answer
    x = 4,781,405,297.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.