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Finding the Third Proportional to 9,284,840.16 and 20,363,296.22

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Solution

The third proportional to 9,284,840.16 and 20,363,296.22 is: 44,660,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284,840.16 : 20,363,296.22 = 20,363,296.22 : x
  2. Step 2: Convert to fraction form
    9,284,840.16/20,363,296.22 = 20,363,296.22/x
  3. Step 3: Cross multiply
    9,284,840.16x = 20,363,296.22 × 20,363,296.22
  4. Step 4: Simplify right side
    9,284,840.16x = 414,663,832,892,558.06
  5. Step 5: Solve for x
    x = 414,663,832,892,558.06/9,284,840.16
  6. Step 6: Final answer
    x = 44,660,309.27

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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.