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Finding the Third Proportional to 3,029,295 and 6,484,215

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Solution

The third proportional to 3,029,295 and 6,484,215 is: 13,879,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,295 : 6,484,215 = 6,484,215 : x
  2. Step 2: Convert to fraction form
    3,029,295/6,484,215 = 6,484,215/x
  3. Step 3: Cross multiply
    3,029,295x = 6,484,215 × 6,484,215
  4. Step 4: Simplify right side
    3,029,295x = 42,045,044,166,225
  5. Step 5: Solve for x
    x = 42,045,044,166,225/3,029,295
  6. Step 6: Final answer
    x = 13,879,481.58

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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.