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Finding the Third Proportional to 614,008,150.03 and 1,335,597,012

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Solution

The third proportional to 614,008,150.03 and 1,335,597,012 is: 2,905,204,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,008,150.03 : 1,335,597,012 = 1,335,597,012 : x
  2. Step 2: Convert to fraction form
    614,008,150.03/1,335,597,012 = 1,335,597,012/x
  3. Step 3: Cross multiply
    614,008,150.03x = 1,335,597,012 × 1,335,597,012
  4. Step 4: Simplify right side
    614,008,150.03x = 1,783,819,378,463,328,256
  5. Step 5: Solve for x
    x = 1,783,819,378,463,328,256/614,008,150.03
  6. Step 6: Final answer
    x = 2,905,204,724.68

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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.