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Finding the Third Proportional to 2,010,430,520 and 3,100,432,741

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Solution

The third proportional to 2,010,430,520 and 3,100,432,741 is: 4,781,405,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,430,520 : 3,100,432,741 = 3,100,432,741 : x
  2. Step 2: Convert to fraction form
    2,010,430,520/3,100,432,741 = 3,100,432,741/x
  3. Step 3: Cross multiply
    2,010,430,520x = 3,100,432,741 × 3,100,432,741
  4. Step 4: Simplify right side
    2,010,430,520x = 9,612,683,181,464,772,608
  5. Step 5: Solve for x
    x = 9,612,683,181,464,772,608/2,010,430,520
  6. Step 6: Final answer
    x = 4,781,405,318.83

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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.