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Finding the Third Proportional to 3,144,884 and 6,738,508

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Solution

The third proportional to 3,144,884 and 6,738,508 is: 14,438,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,884 : 6,738,508 = 6,738,508 : x
  2. Step 2: Convert to fraction form
    3,144,884/6,738,508 = 6,738,508/x
  3. Step 3: Cross multiply
    3,144,884x = 6,738,508 × 6,738,508
  4. Step 4: Simplify right side
    3,144,884x = 45,407,490,066,064
  5. Step 5: Solve for x
    x = 45,407,490,066,064/3,144,884
  6. Step 6: Final answer
    x = 14,438,526.21

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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.