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Finding the Third Proportional to 2,747,666 and 5,984,046

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Solution

The third proportional to 2,747,666 and 5,984,046 is: 13,032,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747,666 : 5,984,046 = 5,984,046 : x
  2. Step 2: Convert to fraction form
    2,747,666/5,984,046 = 5,984,046/x
  3. Step 3: Cross multiply
    2,747,666x = 5,984,046 × 5,984,046
  4. Step 4: Simplify right side
    2,747,666x = 35,808,806,530,116
  5. Step 5: Solve for x
    x = 35,808,806,530,116/2,747,666
  6. Step 6: Final answer
    x = 13,032,445.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.