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Finding the Third Proportional to 6,730,215.75 and 14,678,469

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Solution

The third proportional to 6,730,215.75 and 14,678,469 is: 32,013,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730,215.75 : 14,678,469 = 14,678,469 : x
  2. Step 2: Convert to fraction form
    6,730,215.75/14,678,469 = 14,678,469/x
  3. Step 3: Cross multiply
    6,730,215.75x = 14,678,469 × 14,678,469
  4. Step 4: Simplify right side
    6,730,215.75x = 215,457,452,183,961
  5. Step 5: Solve for x
    x = 215,457,452,183,961/6,730,215.75
  6. Step 6: Final answer
    x = 32,013,453.98

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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.