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Finding the Third Proportional to 26,250,105 and 41,084,893.50

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Solution

The third proportional to 26,250,105 and 41,084,893.50 is: 64,303,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,250,105 : 41,084,893.50 = 41,084,893.50 : x
  2. Step 2: Convert to fraction form
    26,250,105/41,084,893.50 = 41,084,893.50/x
  3. Step 3: Cross multiply
    26,250,105x = 41,084,893.50 × 41,084,893.50
  4. Step 4: Simplify right side
    26,250,105x = 1,687,968,473,906,342.25
  5. Step 5: Solve for x
    x = 1,687,968,473,906,342.25/26,250,105
  6. Step 6: Final answer
    x = 64,303,303.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.