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Finding the Third Proportional to 3,847,206.38 and 6,003,725.06

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Solution

The third proportional to 3,847,206.38 and 6,003,725.06 is: 9,369,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847,206.38 : 6,003,725.06 = 6,003,725.06 : x
  2. Step 2: Convert to fraction form
    3,847,206.38/6,003,725.06 = 6,003,725.06/x
  3. Step 3: Cross multiply
    3,847,206.38x = 6,003,725.06 × 6,003,725.06
  4. Step 4: Simplify right side
    3,847,206.38x = 36,044,714,626,090.62
  5. Step 5: Solve for x
    x = 36,044,714,626,090.62/3,847,206.38
  6. Step 6: Final answer
    x = 9,369,061.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.