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Finding the Third Proportional to 3,220,527 and 6,945,471

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Solution

The third proportional to 3,220,527 and 6,945,471 is: 14,978,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220,527 : 6,945,471 = 6,945,471 : x
  2. Step 2: Convert to fraction form
    3,220,527/6,945,471 = 6,945,471/x
  3. Step 3: Cross multiply
    3,220,527x = 6,945,471 × 6,945,471
  4. Step 4: Simplify right side
    3,220,527x = 48,239,567,411,841
  5. Step 5: Solve for x
    x = 48,239,567,411,841/3,220,527
  6. Step 6: Final answer
    x = 14,978,780.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.