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Finding the Third Proportional to 576,233,668.13 and 1,239,863,766.75

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Solution

The third proportional to 576,233,668.13 and 1,239,863,766.75 is: 2,667,775,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,233,668.13 : 1,239,863,766.75 = 1,239,863,766.75 : x
  2. Step 2: Convert to fraction form
    576,233,668.13/1,239,863,766.75 = 1,239,863,766.75/x
  3. Step 3: Cross multiply
    576,233,668.13x = 1,239,863,766.75 × 1,239,863,766.75
  4. Step 4: Simplify right side
    576,233,668.13x = 1,537,262,160,099,498,496
  5. Step 5: Solve for x
    x = 1,537,262,160,099,498,496/576,233,668.13
  6. Step 6: Final answer
    x = 2,667,775,670.07

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Why These Related Problems?

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