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Finding the Third Proportional to 6,898,944 and 14,512,794

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Solution

The third proportional to 6,898,944 and 14,512,794 is: 30,529,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898,944 : 14,512,794 = 14,512,794 : x
  2. Step 2: Convert to fraction form
    6,898,944/14,512,794 = 14,512,794/x
  3. Step 3: Cross multiply
    6,898,944x = 14,512,794 × 14,512,794
  4. Step 4: Simplify right side
    6,898,944x = 210,621,189,686,436
  5. Step 5: Solve for x
    x = 210,621,189,686,436/6,898,944
  6. Step 6: Final answer
    x = 30,529,482.44

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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.