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Finding the Third Proportional to 35,650,867 and 78,110,819

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Solution

The third proportional to 35,650,867 and 78,110,819 is: 171,140,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,650,867 : 78,110,819 = 78,110,819 : x
  2. Step 2: Convert to fraction form
    35,650,867/78,110,819 = 78,110,819/x
  3. Step 3: Cross multiply
    35,650,867x = 78,110,819 × 78,110,819
  4. Step 4: Simplify right side
    35,650,867x = 6,101,300,044,850,761
  5. Step 5: Solve for x
    x = 6,101,300,044,850,761/35,650,867
  6. Step 6: Final answer
    x = 171,140,299.19

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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.