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Finding the Third Proportional to 475,538,274.75 and 764,425,291.13

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Solution

The third proportional to 475,538,274.75 and 764,425,291.13 is: 1,228,809,660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,538,274.75 : 764,425,291.13 = 764,425,291.13 : x
  2. Step 2: Convert to fraction form
    475,538,274.75/764,425,291.13 = 764,425,291.13/x
  3. Step 3: Cross multiply
    475,538,274.75x = 764,425,291.13 × 764,425,291.13
  4. Step 4: Simplify right side
    475,538,274.75x = 584,346,025,711,540,992
  5. Step 5: Solve for x
    x = 584,346,025,711,540,992/475,538,274.75
  6. Step 6: Final answer
    x = 1,228,809,660.00

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.