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Finding the Third Proportional to 5,831,383.50 and 7,850,196

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Solution

The third proportional to 5,831,383.50 and 7,850,196 is: 10,567,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831,383.50 : 7,850,196 = 7,850,196 : x
  2. Step 2: Convert to fraction form
    5,831,383.50/7,850,196 = 7,850,196/x
  3. Step 3: Cross multiply
    5,831,383.50x = 7,850,196 × 7,850,196
  4. Step 4: Simplify right side
    5,831,383.50x = 61,625,577,238,416
  5. Step 5: Solve for x
    x = 61,625,577,238,416/5,831,383.50
  6. Step 6: Final answer
    x = 10,567,917.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.