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Finding the Third Proportional to 650,540,107.13 and 991,055,873.25

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Solution

The third proportional to 650,540,107.13 and 991,055,873.25 is: 1,509,809,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,540,107.13 : 991,055,873.25 = 991,055,873.25 : x
  2. Step 2: Convert to fraction form
    650,540,107.13/991,055,873.25 = 991,055,873.25/x
  3. Step 3: Cross multiply
    650,540,107.13x = 991,055,873.25 × 991,055,873.25
  4. Step 4: Simplify right side
    650,540,107.13x = 982,191,743,903,320,064
  5. Step 5: Solve for x
    x = 982,191,743,903,320,064/650,540,107.13
  6. Step 6: Final answer
    x = 1,509,809,669.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.