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Finding the Third Proportional to 720,396,483 and 1,570,869,876

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Solution

The third proportional to 720,396,483 and 1,570,869,876 is: 3,425,380,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,396,483 : 1,570,869,876 = 1,570,869,876 : x
  2. Step 2: Convert to fraction form
    720,396,483/1,570,869,876 = 1,570,869,876/x
  3. Step 3: Cross multiply
    720,396,483x = 1,570,869,876 × 1,570,869,876
  4. Step 4: Simplify right side
    720,396,483x = 2,467,632,167,324,255,232
  5. Step 5: Solve for x
    x = 2,467,632,167,324,255,232/720,396,483
  6. Step 6: Final answer
    x = 3,425,380,641.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.