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Finding the Third Proportional to 34,284,623 and 73,218,949

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Solution

The third proportional to 34,284,623 and 73,218,949 is: 156,367,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284,623 : 73,218,949 = 73,218,949 : x
  2. Step 2: Convert to fraction form
    34,284,623/73,218,949 = 73,218,949/x
  3. Step 3: Cross multiply
    34,284,623x = 73,218,949 × 73,218,949
  4. Step 4: Simplify right side
    34,284,623x = 5,361,014,492,664,601
  5. Step 5: Solve for x
    x = 5,361,014,492,664,601/34,284,623
  6. Step 6: Final answer
    x = 156,367,899.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.