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Finding the Third Proportional to 7,764,092.44 and 16,822,128.38

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Solution

The third proportional to 7,764,092.44 and 16,822,128.38 is: 36,447,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764,092.44 : 16,822,128.38 = 16,822,128.38 : x
  2. Step 2: Convert to fraction form
    7,764,092.44/16,822,128.38 = 16,822,128.38/x
  3. Step 3: Cross multiply
    7,764,092.44x = 16,822,128.38 × 16,822,128.38
  4. Step 4: Simplify right side
    7,764,092.44x = 282,984,003,064,980.12
  5. Step 5: Solve for x
    x = 282,984,003,064,980.12/7,764,092.44
  6. Step 6: Final answer
    x = 36,447,789.02

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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.