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Finding the Third Proportional to 203,662,642 and 453,422,924

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Solution

The third proportional to 203,662,642 and 453,422,924 is: 1,009,475,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,662,642 : 453,422,924 = 453,422,924 : x
  2. Step 2: Convert to fraction form
    203,662,642/453,422,924 = 453,422,924/x
  3. Step 3: Cross multiply
    203,662,642x = 453,422,924 × 453,422,924
  4. Step 4: Simplify right side
    203,662,642x = 205,592,348,008,709,760
  5. Step 5: Solve for x
    x = 205,592,348,008,709,760/203,662,642
  6. Step 6: Final answer
    x = 1,009,475,012.16

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