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Finding the Third Proportional to 4,327,740 and 6,736,560

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Solution

The third proportional to 4,327,740 and 6,736,560 is: 10,486,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327,740 : 6,736,560 = 6,736,560 : x
  2. Step 2: Convert to fraction form
    4,327,740/6,736,560 = 6,736,560/x
  3. Step 3: Cross multiply
    4,327,740x = 6,736,560 × 6,736,560
  4. Step 4: Simplify right side
    4,327,740x = 45,381,240,633,600
  5. Step 5: Solve for x
    x = 45,381,240,633,600/4,327,740
  6. Step 6: Final answer
    x = 10,486,129.17

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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.