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Finding the Third Proportional to 6,788,280 and 14,733,723

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Solution

The third proportional to 6,788,280 and 14,733,723 is: 31,979,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788,280 : 14,733,723 = 14,733,723 : x
  2. Step 2: Convert to fraction form
    6,788,280/14,733,723 = 14,733,723/x
  3. Step 3: Cross multiply
    6,788,280x = 14,733,723 × 14,733,723
  4. Step 4: Simplify right side
    6,788,280x = 217,082,593,440,729
  5. Step 5: Solve for x
    x = 217,082,593,440,729/6,788,280
  6. Step 6: Final answer
    x = 31,979,027.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.