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Finding the Third Proportional to 3,499,102.13 and 5,477,010.75

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Solution

The third proportional to 3,499,102.13 and 5,477,010.75 is: 8,572,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499,102.13 : 5,477,010.75 = 5,477,010.75 : x
  2. Step 2: Convert to fraction form
    3,499,102.13/5,477,010.75 = 5,477,010.75/x
  3. Step 3: Cross multiply
    3,499,102.13x = 5,477,010.75 × 5,477,010.75
  4. Step 4: Simplify right side
    3,499,102.13x = 29,997,646,755,615.56
  5. Step 5: Solve for x
    x = 29,997,646,755,615.56/3,499,102.13
  6. Step 6: Final answer
    x = 8,572,955.49

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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.