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Finding the Third Proportional to 3,850,265.81 and 7,806,853.13

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Solution

The third proportional to 3,850,265.81 and 7,806,853.13 is: 15,829,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850,265.81 : 7,806,853.13 = 7,806,853.13 : x
  2. Step 2: Convert to fraction form
    3,850,265.81/7,806,853.13 = 7,806,853.13/x
  3. Step 3: Cross multiply
    3,850,265.81x = 7,806,853.13 × 7,806,853.13
  4. Step 4: Simplify right side
    3,850,265.81x = 60,946,955,715,322.27
  5. Step 5: Solve for x
    x = 60,946,955,715,322.27/3,850,265.81
  6. Step 6: Final answer
    x = 15,829,285.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.