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Finding the Third Proportional to 6,741,705 and 14,857,659

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Solution

The third proportional to 6,741,705 and 14,857,659 is: 32,743,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,705 : 14,857,659 = 14,857,659 : x
  2. Step 2: Convert to fraction form
    6,741,705/14,857,659 = 14,857,659/x
  3. Step 3: Cross multiply
    6,741,705x = 14,857,659 × 14,857,659
  4. Step 4: Simplify right side
    6,741,705x = 220,750,030,960,281
  5. Step 5: Solve for x
    x = 220,750,030,960,281/6,741,705
  6. Step 6: Final answer
    x = 32,743,946.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.