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Finding the Third Proportional to 344,954,652.75 and 752,342,496.75

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Solution

The third proportional to 344,954,652.75 and 752,342,496.75 is: 1,640,851,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,954,652.75 : 752,342,496.75 = 752,342,496.75 : x
  2. Step 2: Convert to fraction form
    344,954,652.75/752,342,496.75 = 752,342,496.75/x
  3. Step 3: Cross multiply
    344,954,652.75x = 752,342,496.75 × 752,342,496.75
  4. Step 4: Simplify right side
    344,954,652.75x = 566,019,232,416,023,744
  5. Step 5: Solve for x
    x = 566,019,232,416,023,744/344,954,652.75
  6. Step 6: Final answer
    x = 1,640,851,131.89

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