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Finding the Third Proportional to 3,254,191.88 and 6,777,730.97

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Solution

The third proportional to 3,254,191.88 and 6,777,730.97 is: 14,116,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254,191.88 : 6,777,730.97 = 6,777,730.97 : x
  2. Step 2: Convert to fraction form
    3,254,191.88/6,777,730.97 = 6,777,730.97/x
  3. Step 3: Cross multiply
    3,254,191.88x = 6,777,730.97 × 6,777,730.97
  4. Step 4: Simplify right side
    3,254,191.88x = 45,937,637,084,752.81
  5. Step 5: Solve for x
    x = 45,937,637,084,752.81/3,254,191.88
  6. Step 6: Final answer
    x = 14,116,450.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.