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Finding the Third Proportional to 35,829,171 and 73,162,206

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Solution

The third proportional to 35,829,171 and 73,162,206 is: 149,395,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829,171 : 73,162,206 = 73,162,206 : x
  2. Step 2: Convert to fraction form
    35,829,171/73,162,206 = 73,162,206/x
  3. Step 3: Cross multiply
    35,829,171x = 73,162,206 × 73,162,206
  4. Step 4: Simplify right side
    35,829,171x = 5,352,708,386,786,436
  5. Step 5: Solve for x
    x = 5,352,708,386,786,436/35,829,171
  6. Step 6: Final answer
    x = 149,395,261.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.