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Finding the Third Proportional to 3,144,015 and 6,736,221

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Solution

The third proportional to 3,144,015 and 6,736,221 is: 14,432,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,015 : 6,736,221 = 6,736,221 : x
  2. Step 2: Convert to fraction form
    3,144,015/6,736,221 = 6,736,221/x
  3. Step 3: Cross multiply
    3,144,015x = 6,736,221 × 6,736,221
  4. Step 4: Simplify right side
    3,144,015x = 45,376,673,360,841
  5. Step 5: Solve for x
    x = 45,376,673,360,841/3,144,015
  6. Step 6: Final answer
    x = 14,432,715.29

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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.