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Finding the Third Proportional to 363,257,856 and 774,949,014

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Solution

The third proportional to 363,257,856 and 774,949,014 is: 1,653,222,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,257,856 : 774,949,014 = 774,949,014 : x
  2. Step 2: Convert to fraction form
    363,257,856/774,949,014 = 774,949,014/x
  3. Step 3: Cross multiply
    363,257,856x = 774,949,014 × 774,949,014
  4. Step 4: Simplify right side
    363,257,856x = 600,545,974,299,572,224
  5. Step 5: Solve for x
    x = 600,545,974,299,572,224/363,257,856
  6. Step 6: Final answer
    x = 1,653,222,261.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.