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Finding the Third Proportional to 35,569,928 and 76,532,512

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Solution

The third proportional to 35,569,928 and 76,532,512 is: 164,667,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,569,928 : 76,532,512 = 76,532,512 : x
  2. Step 2: Convert to fraction form
    35,569,928/76,532,512 = 76,532,512/x
  3. Step 3: Cross multiply
    35,569,928x = 76,532,512 × 76,532,512
  4. Step 4: Simplify right side
    35,569,928x = 5,857,225,393,030,144
  5. Step 5: Solve for x
    x = 5,857,225,393,030,144/35,569,928
  6. Step 6: Final answer
    x = 164,667,901.30

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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.