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Finding the Third Proportional to 6,934,504 and 10,328,312

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Solution

The third proportional to 6,934,504 and 10,328,312 is: 15,383,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,504 : 10,328,312 = 10,328,312 : x
  2. Step 2: Convert to fraction form
    6,934,504/10,328,312 = 10,328,312/x
  3. Step 3: Cross multiply
    6,934,504x = 10,328,312 × 10,328,312
  4. Step 4: Simplify right side
    6,934,504x = 106,674,028,769,344
  5. Step 5: Solve for x
    x = 106,674,028,769,344/6,934,504
  6. Step 6: Final answer
    x = 15,383,079.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.