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Finding the Third Proportional to 6,543,846 and 13,997,484

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Solution

The third proportional to 6,543,846 and 13,997,484 is: 29,941,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,846 : 13,997,484 = 13,997,484 : x
  2. Step 2: Convert to fraction form
    6,543,846/13,997,484 = 13,997,484/x
  3. Step 3: Cross multiply
    6,543,846x = 13,997,484 × 13,997,484
  4. Step 4: Simplify right side
    6,543,846x = 195,929,558,330,256
  5. Step 5: Solve for x
    x = 195,929,558,330,256/6,543,846
  6. Step 6: Final answer
    x = 29,941,040.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.