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Finding the Third Proportional to 2,010,430,522 and 3,100,432,744

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Solution

The third proportional to 2,010,430,522 and 3,100,432,744 is: 4,781,405,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,430,522 : 3,100,432,744 = 3,100,432,744 : x
  2. Step 2: Convert to fraction form
    2,010,430,522/3,100,432,744 = 3,100,432,744/x
  3. Step 3: Cross multiply
    2,010,430,522x = 3,100,432,744 × 3,100,432,744
  4. Step 4: Simplify right side
    2,010,430,522x = 9,612,683,200,067,368,960
  5. Step 5: Solve for x
    x = 9,612,683,200,067,368,960/2,010,430,522
  6. Step 6: Final answer
    x = 4,781,405,323.33

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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.