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Finding the Third Proportional to 6,172,281 and 13,566,285

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Solution

The third proportional to 6,172,281 and 13,566,285 is: 29,817,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172,281 : 13,566,285 = 13,566,285 : x
  2. Step 2: Convert to fraction form
    6,172,281/13,566,285 = 13,566,285/x
  3. Step 3: Cross multiply
    6,172,281x = 13,566,285 × 13,566,285
  4. Step 4: Simplify right side
    6,172,281x = 184,044,088,701,225
  5. Step 5: Solve for x
    x = 184,044,088,701,225/6,172,281
  6. Step 6: Final answer
    x = 29,817,840.23

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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.