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Finding the Third Proportional to 6,508,813 and 13,997,145

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Solution

The third proportional to 6,508,813 and 13,997,145 is: 30,100,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,813 : 13,997,145 = 13,997,145 : x
  2. Step 2: Convert to fraction form
    6,508,813/13,997,145 = 13,997,145/x
  3. Step 3: Cross multiply
    6,508,813x = 13,997,145 × 13,997,145
  4. Step 4: Simplify right side
    6,508,813x = 195,920,068,151,025
  5. Step 5: Solve for x
    x = 195,920,068,151,025/6,508,813
  6. Step 6: Final answer
    x = 30,100,736.98

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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.