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Finding the Third Proportional to 2,010,430,544 and 3,100,432,777

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Solution

The third proportional to 2,010,430,544 and 3,100,432,777 is: 4,781,405,372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,430,544 : 3,100,432,777 = 3,100,432,777 : x
  2. Step 2: Convert to fraction form
    2,010,430,544/3,100,432,777 = 3,100,432,777/x
  3. Step 3: Cross multiply
    2,010,430,544x = 3,100,432,777 × 3,100,432,777
  4. Step 4: Simplify right side
    2,010,430,544x = 9,612,683,404,695,930,880
  5. Step 5: Solve for x
    x = 9,612,683,404,695,930,880/2,010,430,544
  6. Step 6: Final answer
    x = 4,781,405,372.79

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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.