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Finding the Third Proportional to 6,898,898 and 14,512,774

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Solution

The third proportional to 6,898,898 and 14,512,774 is: 30,529,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898,898 : 14,512,774 = 14,512,774 : x
  2. Step 2: Convert to fraction form
    6,898,898/14,512,774 = 14,512,774/x
  3. Step 3: Cross multiply
    6,898,898x = 14,512,774 × 14,512,774
  4. Step 4: Simplify right side
    6,898,898x = 210,620,609,175,076
  5. Step 5: Solve for x
    x = 210,620,609,175,076/6,898,898
  6. Step 6: Final answer
    x = 30,529,601.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.