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Finding the Third Proportional to 3,895,305.19 and 6,683,687.16

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Solution

The third proportional to 3,895,305.19 and 6,683,687.16 is: 11,468,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895,305.19 : 6,683,687.16 = 6,683,687.16 : x
  2. Step 2: Convert to fraction form
    3,895,305.19/6,683,687.16 = 6,683,687.16/x
  3. Step 3: Cross multiply
    3,895,305.19x = 6,683,687.16 × 6,683,687.16
  4. Step 4: Simplify right side
    3,895,305.19x = 44,671,674,002,621.21
  5. Step 5: Solve for x
    x = 44,671,674,002,621.21/3,895,305.19
  6. Step 6: Final answer
    x = 11,468,080.64

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.