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Finding the Third Proportional to 27,624,108 and 43,334,070

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Solution

The third proportional to 27,624,108 and 43,334,070 is: 67,978,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624,108 : 43,334,070 = 43,334,070 : x
  2. Step 2: Convert to fraction form
    27,624,108/43,334,070 = 43,334,070/x
  3. Step 3: Cross multiply
    27,624,108x = 43,334,070 × 43,334,070
  4. Step 4: Simplify right side
    27,624,108x = 1,877,841,622,764,900
  5. Step 5: Solve for x
    x = 1,877,841,622,764,900/27,624,108
  6. Step 6: Final answer
    x = 67,978,362.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.