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Finding the Third Proportional to 67,296,974 and 146,403,748

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Solution

The third proportional to 67,296,974 and 146,403,748 is: 318,499,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,296,974 : 146,403,748 = 146,403,748 : x
  2. Step 2: Convert to fraction form
    67,296,974/146,403,748 = 146,403,748/x
  3. Step 3: Cross multiply
    67,296,974x = 146,403,748 × 146,403,748
  4. Step 4: Simplify right side
    67,296,974x = 21,434,057,428,447,504
  5. Step 5: Solve for x
    x = 21,434,057,428,447,504/67,296,974
  6. Step 6: Final answer
    x = 318,499,572.19

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Why These Related Problems?

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