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Finding the Third Proportional to 2,767,946 and 6,039,563

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Solution

The third proportional to 2,767,946 and 6,039,563 is: 13,178,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767,946 : 6,039,563 = 6,039,563 : x
  2. Step 2: Convert to fraction form
    2,767,946/6,039,563 = 6,039,563/x
  3. Step 3: Cross multiply
    2,767,946x = 6,039,563 × 6,039,563
  4. Step 4: Simplify right side
    2,767,946x = 36,476,321,230,969
  5. Step 5: Solve for x
    x = 36,476,321,230,969/2,767,946
  6. Step 6: Final answer
    x = 13,178,118.80

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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.