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Finding the Third Proportional to 6,898,863 and 14,512,797

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Solution

The third proportional to 6,898,863 and 14,512,797 is: 30,529,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898,863 : 14,512,797 = 14,512,797 : x
  2. Step 2: Convert to fraction form
    6,898,863/14,512,797 = 14,512,797/x
  3. Step 3: Cross multiply
    6,898,863x = 14,512,797 × 14,512,797
  4. Step 4: Simplify right side
    6,898,863x = 210,621,276,763,209
  5. Step 5: Solve for x
    x = 210,621,276,763,209/6,898,863
  6. Step 6: Final answer
    x = 30,529,853.51

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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.