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Finding the Third Proportional to 3,546,224.25 and 5,616,221.63

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Solution

The third proportional to 3,546,224.25 and 5,616,221.63 is: 8,894,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546,224.25 : 5,616,221.63 = 5,616,221.63 : x
  2. Step 2: Convert to fraction form
    3,546,224.25/5,616,221.63 = 5,616,221.63/x
  3. Step 3: Cross multiply
    3,546,224.25x = 5,616,221.63 × 5,616,221.63
  4. Step 4: Simplify right side
    3,546,224.25x = 31,541,945,341,117.64
  5. Step 5: Solve for x
    x = 31,541,945,341,117.64/3,546,224.25
  6. Step 6: Final answer
    x = 8,894,515.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.