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Finding the Third Proportional to 35,208,932 and 75,624,016

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Solution

The third proportional to 35,208,932 and 75,624,016 is: 162,430,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,208,932 : 75,624,016 = 75,624,016 : x
  2. Step 2: Convert to fraction form
    35,208,932/75,624,016 = 75,624,016/x
  3. Step 3: Cross multiply
    35,208,932x = 75,624,016 × 75,624,016
  4. Step 4: Simplify right side
    35,208,932x = 5,718,991,795,968,256
  5. Step 5: Solve for x
    x = 5,718,991,795,968,256/35,208,932
  6. Step 6: Final answer
    x = 162,430,141.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.