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Finding the Third Proportional to 9,166,539 and 20,095,799.25

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Solution

The third proportional to 9,166,539 and 20,095,799.25 is: 44,056,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166,539 : 20,095,799.25 = 20,095,799.25 : x
  2. Step 2: Convert to fraction form
    9,166,539/20,095,799.25 = 20,095,799.25/x
  3. Step 3: Cross multiply
    9,166,539x = 20,095,799.25 × 20,095,799.25
  4. Step 4: Simplify right side
    9,166,539x = 403,841,147,496,300.56
  5. Step 5: Solve for x
    x = 403,841,147,496,300.56/9,166,539
  6. Step 6: Final answer
    x = 44,056,011.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.