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Finding the Third Proportional to 6,861,682.13 and 10,063,297.13

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Solution

The third proportional to 6,861,682.13 and 10,063,297.13 is: 14,758,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861,682.13 : 10,063,297.13 = 10,063,297.13 : x
  2. Step 2: Convert to fraction form
    6,861,682.13/10,063,297.13 = 10,063,297.13/x
  3. Step 3: Cross multiply
    6,861,682.13x = 10,063,297.13 × 10,063,297.13
  4. Step 4: Simplify right side
    6,861,682.13x = 101,269,949,026,033.27
  5. Step 5: Solve for x
    x = 101,269,949,026,033.27/6,861,682.13
  6. Step 6: Final answer
    x = 14,758,764.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.