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Finding the Third Proportional to 268,421,568 and 587,083,584

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Solution

The third proportional to 268,421,568 and 587,083,584 is: 1,284,051,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,421,568 : 587,083,584 = 587,083,584 : x
  2. Step 2: Convert to fraction form
    268,421,568/587,083,584 = 587,083,584/x
  3. Step 3: Cross multiply
    268,421,568x = 587,083,584 × 587,083,584
  4. Step 4: Simplify right side
    268,421,568x = 344,667,134,602,285,056
  5. Step 5: Solve for x
    x = 344,667,134,602,285,056/268,421,568
  6. Step 6: Final answer
    x = 1,284,051,565.49

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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.