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Finding the Third Proportional to 622,832,409 and 875,972,110.50

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Solution

The third proportional to 622,832,409 and 875,972,110.50 is: 1,231,996,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,832,409 : 875,972,110.50 = 875,972,110.50 : x
  2. Step 2: Convert to fraction form
    622,832,409/875,972,110.50 = 875,972,110.50/x
  3. Step 3: Cross multiply
    622,832,409x = 875,972,110.50 × 875,972,110.50
  4. Step 4: Simplify right side
    622,832,409x = 767,327,138,373,824,256
  5. Step 5: Solve for x
    x = 767,327,138,373,824,256/622,832,409
  6. Step 6: Final answer
    x = 1,231,996,163.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.