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Finding the Third Proportional to 763,303,212.75 and 1,661,768,346.75

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Solution

The third proportional to 763,303,212.75 and 1,661,768,346.75 is: 3,617,794,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,303,212.75 : 1,661,768,346.75 = 1,661,768,346.75 : x
  2. Step 2: Convert to fraction form
    763,303,212.75/1,661,768,346.75 = 1,661,768,346.75/x
  3. Step 3: Cross multiply
    763,303,212.75x = 1,661,768,346.75 × 1,661,768,346.75
  4. Step 4: Simplify right side
    763,303,212.75x = 2,761,474,038,260,228,096
  5. Step 5: Solve for x
    x = 2,761,474,038,260,228,096/763,303,212.75
  6. Step 6: Final answer
    x = 3,617,794,334.06

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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.