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Finding the Third Proportional to 3,841,923.66 and 8,181,572.06

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Solution

The third proportional to 3,841,923.66 and 8,181,572.06 is: 17,423,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841,923.66 : 8,181,572.06 = 8,181,572.06 : x
  2. Step 2: Convert to fraction form
    3,841,923.66/8,181,572.06 = 8,181,572.06/x
  3. Step 3: Cross multiply
    3,841,923.66x = 8,181,572.06 × 8,181,572.06
  4. Step 4: Simplify right side
    3,841,923.66x = 66,938,121,413,880.50
  5. Step 5: Solve for x
    x = 66,938,121,413,880.50/3,841,923.66
  6. Step 6: Final answer
    x = 17,423,074.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.