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Finding the Third Proportional to 4,327,738 and 6,736,527

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Solution

The third proportional to 4,327,738 and 6,736,527 is: 10,486,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327,738 : 6,736,527 = 6,736,527 : x
  2. Step 2: Convert to fraction form
    4,327,738/6,736,527 = 6,736,527/x
  3. Step 3: Cross multiply
    4,327,738x = 6,736,527 × 6,736,527
  4. Step 4: Simplify right side
    4,327,738x = 45,380,796,021,729
  5. Step 5: Solve for x
    x = 45,380,796,021,729/4,327,738
  6. Step 6: Final answer
    x = 10,486,031.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.