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Finding the Third Proportional to 3,709,683.56 and 8,053,857.84

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Solution

The third proportional to 3,709,683.56 and 8,053,857.84 is: 17,485,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709,683.56 : 8,053,857.84 = 8,053,857.84 : x
  2. Step 2: Convert to fraction form
    3,709,683.56/8,053,857.84 = 8,053,857.84/x
  3. Step 3: Cross multiply
    3,709,683.56x = 8,053,857.84 × 8,053,857.84
  4. Step 4: Simplify right side
    3,709,683.56x = 64,864,626,167,333.40
  5. Step 5: Solve for x
    x = 64,864,626,167,333.40/3,709,683.56
  6. Step 6: Final answer
    x = 17,485,218.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.