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Finding the Third Proportional to 15,847,524 and 23,809,140

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Solution

The third proportional to 15,847,524 and 23,809,140 is: 35,770,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847,524 : 23,809,140 = 23,809,140 : x
  2. Step 2: Convert to fraction form
    15,847,524/23,809,140 = 23,809,140/x
  3. Step 3: Cross multiply
    15,847,524x = 23,809,140 × 23,809,140
  4. Step 4: Simplify right side
    15,847,524x = 566,875,147,539,600
  5. Step 5: Solve for x
    x = 566,875,147,539,600/15,847,524
  6. Step 6: Final answer
    x = 35,770,581.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.