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Finding the Third Proportional to 9,484,148 and 22,381,175

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Solution

The third proportional to 9,484,148 and 22,381,175 is: 52,816,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484,148 : 22,381,175 = 22,381,175 : x
  2. Step 2: Convert to fraction form
    9,484,148/22,381,175 = 22,381,175/x
  3. Step 3: Cross multiply
    9,484,148x = 22,381,175 × 22,381,175
  4. Step 4: Simplify right side
    9,484,148x = 500,916,994,380,625
  5. Step 5: Solve for x
    x = 500,916,994,380,625/9,484,148
  6. Step 6: Final answer
    x = 52,816,235.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.