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Finding the Third Proportional to 35,877,324 and 76,538,186

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Solution

The third proportional to 35,877,324 and 76,538,186 is: 163,281,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,877,324 : 76,538,186 = 76,538,186 : x
  2. Step 2: Convert to fraction form
    35,877,324/76,538,186 = 76,538,186/x
  3. Step 3: Cross multiply
    35,877,324x = 76,538,186 × 76,538,186
  4. Step 4: Simplify right side
    35,877,324x = 5,858,093,916,170,596
  5. Step 5: Solve for x
    x = 5,858,093,916,170,596/35,877,324
  6. Step 6: Final answer
    x = 163,281,239.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.