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Finding the Third Proportional to 29,892,124 and 64,368,800

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Solution

The third proportional to 29,892,124 and 64,368,800 is: 138,609,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,892,124 : 64,368,800 = 64,368,800 : x
  2. Step 2: Convert to fraction form
    29,892,124/64,368,800 = 64,368,800/x
  3. Step 3: Cross multiply
    29,892,124x = 64,368,800 × 64,368,800
  4. Step 4: Simplify right side
    29,892,124x = 4,143,342,413,440,000
  5. Step 5: Solve for x
    x = 4,143,342,413,440,000/29,892,124
  6. Step 6: Final answer
    x = 138,609,836.27

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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.