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Finding the Third Proportional to 697,359,474 and 1,530,750,876

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Solution

The third proportional to 697,359,474 and 1,530,750,876 is: 3,360,100,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,359,474 : 1,530,750,876 = 1,530,750,876 : x
  2. Step 2: Convert to fraction form
    697,359,474/1,530,750,876 = 1,530,750,876/x
  3. Step 3: Cross multiply
    697,359,474x = 1,530,750,876 × 1,530,750,876
  4. Step 4: Simplify right side
    697,359,474x = 2,343,198,244,374,767,616
  5. Step 5: Solve for x
    x = 2,343,198,244,374,767,616/697,359,474
  6. Step 6: Final answer
    x = 3,360,100,969.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.