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Finding the Third Proportional to 370,667,534.25 and 812,548,161.75

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Solution

The third proportional to 370,667,534.25 and 812,548,161.75 is: 1,781,204,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,667,534.25 : 812,548,161.75 = 812,548,161.75 : x
  2. Step 2: Convert to fraction form
    370,667,534.25/812,548,161.75 = 812,548,161.75/x
  3. Step 3: Cross multiply
    370,667,534.25x = 812,548,161.75 × 812,548,161.75
  4. Step 4: Simplify right side
    370,667,534.25x = 660,234,515,163,304,192
  5. Step 5: Solve for x
    x = 660,234,515,163,304,192/370,667,534.25
  6. Step 6: Final answer
    x = 1,781,204,055.27

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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.