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Finding the Third Proportional to 6,238,148 and 13,650,282

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Solution

The third proportional to 6,238,148 and 13,650,282 is: 29,869,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238,148 : 13,650,282 = 13,650,282 : x
  2. Step 2: Convert to fraction form
    6,238,148/13,650,282 = 13,650,282/x
  3. Step 3: Cross multiply
    6,238,148x = 13,650,282 × 13,650,282
  4. Step 4: Simplify right side
    6,238,148x = 186,330,198,679,524
  5. Step 5: Solve for x
    x = 186,330,198,679,524/6,238,148
  6. Step 6: Final answer
    x = 29,869,473.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.