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Finding the Third Proportional to 8,205,971.63 and 18,995,339.25

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Solution

The third proportional to 8,205,971.63 and 18,995,339.25 is: 43,970,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,971.63 : 18,995,339.25 = 18,995,339.25 : x
  2. Step 2: Convert to fraction form
    8,205,971.63/18,995,339.25 = 18,995,339.25/x
  3. Step 3: Cross multiply
    8,205,971.63x = 18,995,339.25 × 18,995,339.25
  4. Step 4: Simplify right side
    8,205,971.63x = 360,822,913,222,590.56
  5. Step 5: Solve for x
    x = 360,822,913,222,590.56/8,205,971.63
  6. Step 6: Final answer
    x = 43,970,772.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.