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Finding the Third Proportional to 276,253,641 and 414,279,022.50

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Solution

The third proportional to 276,253,641 and 414,279,022.50 is: 621,266,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,253,641 : 414,279,022.50 = 414,279,022.50 : x
  2. Step 2: Convert to fraction form
    276,253,641/414,279,022.50 = 414,279,022.50/x
  3. Step 3: Cross multiply
    276,253,641x = 414,279,022.50 × 414,279,022.50
  4. Step 4: Simplify right side
    276,253,641x = 171,627,108,483,555,520
  5. Step 5: Solve for x
    x = 171,627,108,483,555,520/276,253,641
  6. Step 6: Final answer
    x = 621,266,412.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.