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Finding the Third Proportional to 76,653,139,872 and 166,803,948,096

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Solution

The third proportional to 76,653,139,872 and 166,803,948,096 is: 362,980,005,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,653,139,872 : 166,803,948,096 = 166,803,948,096 : x
  2. Step 2: Convert to fraction form
    76,653,139,872/166,803,948,096 = 166,803,948,096/x
  3. Step 3: Cross multiply
    76,653,139,872x = 166,803,948,096 × 166,803,948,096
  4. Step 4: Simplify right side
    76,653,139,872x = 27,823,557,100,413,063,790,592
  5. Step 5: Solve for x
    x = 27,823,557,100,413,063,790,592/76,653,139,872
  6. Step 6: Final answer
    x = 362,980,005,083.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.