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Finding the Third Proportional to 503,570,012 and 1,083,667,560

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Solution

The third proportional to 503,570,012 and 1,083,667,560 is: 2,332,020,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,570,012 : 1,083,667,560 = 1,083,667,560 : x
  2. Step 2: Convert to fraction form
    503,570,012/1,083,667,560 = 1,083,667,560/x
  3. Step 3: Cross multiply
    503,570,012x = 1,083,667,560 × 1,083,667,560
  4. Step 4: Simplify right side
    503,570,012x = 1,174,335,380,596,353,536
  5. Step 5: Solve for x
    x = 1,174,335,380,596,353,536/503,570,012
  6. Step 6: Final answer
    x = 2,332,020,081.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.