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Finding the Third Proportional to 8,239,512 and 12,064,296

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Solution

The third proportional to 8,239,512 and 12,064,296 is: 17,664,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239,512 : 12,064,296 = 12,064,296 : x
  2. Step 2: Convert to fraction form
    8,239,512/12,064,296 = 12,064,296/x
  3. Step 3: Cross multiply
    8,239,512x = 12,064,296 × 12,064,296
  4. Step 4: Simplify right side
    8,239,512x = 145,547,237,975,616
  5. Step 5: Solve for x
    x = 145,547,237,975,616/8,239,512
  6. Step 6: Final answer
    x = 17,664,545.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.