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Finding the Third Proportional to 64,496,311 and 140,329,610

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Solution

The third proportional to 64,496,311 and 140,329,610 is: 305,325,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,496,311 : 140,329,610 = 140,329,610 : x
  2. Step 2: Convert to fraction form
    64,496,311/140,329,610 = 140,329,610/x
  3. Step 3: Cross multiply
    64,496,311x = 140,329,610 × 140,329,610
  4. Step 4: Simplify right side
    64,496,311x = 19,692,399,442,752,100
  5. Step 5: Solve for x
    x = 19,692,399,442,752,100/64,496,311
  6. Step 6: Final answer
    x = 305,325,981.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.