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Finding the Third Proportional to 2,010,430,518 and 3,100,432,738

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Solution

The third proportional to 2,010,430,518 and 3,100,432,738 is: 4,781,405,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,430,518 : 3,100,432,738 = 3,100,432,738 : x
  2. Step 2: Convert to fraction form
    2,010,430,518/3,100,432,738 = 3,100,432,738/x
  3. Step 3: Cross multiply
    2,010,430,518x = 3,100,432,738 × 3,100,432,738
  4. Step 4: Simplify right side
    2,010,430,518x = 9,612,683,162,862,176,256
  5. Step 5: Solve for x
    x = 9,612,683,162,862,176,256/2,010,430,518
  6. Step 6: Final answer
    x = 4,781,405,314.33

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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.