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Finding the Third Proportional to 5,364,594 and 11,496,216

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Solution

The third proportional to 5,364,594 and 11,496,216 is: 24,636,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364,594 : 11,496,216 = 11,496,216 : x
  2. Step 2: Convert to fraction form
    5,364,594/11,496,216 = 11,496,216/x
  3. Step 3: Cross multiply
    5,364,594x = 11,496,216 × 11,496,216
  4. Step 4: Simplify right side
    5,364,594x = 132,162,982,318,656
  5. Step 5: Solve for x
    x = 132,162,982,318,656/5,364,594
  6. Step 6: Final answer
    x = 24,636,157.43

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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.