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Finding the Third Proportional to 40,493,993 and 65,208,666

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Solution

The third proportional to 40,493,993 and 65,208,666 is: 105,007,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,493,993 : 65,208,666 = 65,208,666 : x
  2. Step 2: Convert to fraction form
    40,493,993/65,208,666 = 65,208,666/x
  3. Step 3: Cross multiply
    40,493,993x = 65,208,666 × 65,208,666
  4. Step 4: Simplify right side
    40,493,993x = 4,252,170,121,499,556
  5. Step 5: Solve for x
    x = 4,252,170,121,499,556/40,493,993
  6. Step 6: Final answer
    x = 105,007,429.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.