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Finding the Third Proportional to 203,662,628 and 453,422,896

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Solution

The third proportional to 203,662,628 and 453,422,896 is: 1,009,474,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,662,628 : 453,422,896 = 453,422,896 : x
  2. Step 2: Convert to fraction form
    203,662,628/453,422,896 = 453,422,896/x
  3. Step 3: Cross multiply
    203,662,628x = 453,422,896 × 453,422,896
  4. Step 4: Simplify right side
    203,662,628x = 205,592,322,617,026,816
  5. Step 5: Solve for x
    x = 205,592,322,617,026,816/203,662,628
  6. Step 6: Final answer
    x = 1,009,474,956.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.