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Finding the Third Proportional to 6,346,380 and 13,952,472

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Solution

The third proportional to 6,346,380 and 13,952,472 is: 30,674,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,380 : 13,952,472 = 13,952,472 : x
  2. Step 2: Convert to fraction form
    6,346,380/13,952,472 = 13,952,472/x
  3. Step 3: Cross multiply
    6,346,380x = 13,952,472 × 13,952,472
  4. Step 4: Simplify right side
    6,346,380x = 194,671,474,910,784
  5. Step 5: Solve for x
    x = 194,671,474,910,784/6,346,380
  6. Step 6: Final answer
    x = 30,674,412.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.