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Finding the Third Proportional to 67,298,431 and 146,406,663

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Solution

The third proportional to 67,298,431 and 146,406,663 is: 318,505,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298,431 : 146,406,663 = 146,406,663 : x
  2. Step 2: Convert to fraction form
    67,298,431/146,406,663 = 146,406,663/x
  3. Step 3: Cross multiply
    67,298,431x = 146,406,663 × 146,406,663
  4. Step 4: Simplify right side
    67,298,431x = 21,434,910,970,795,568
  5. Step 5: Solve for x
    x = 21,434,910,970,795,568/67,298,431
  6. Step 6: Final answer
    x = 318,505,359.67

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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.