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Finding the Third Proportional to 516,821,108 and 775,609,650

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Solution

The third proportional to 516,821,108 and 775,609,650 is: 1,163,981,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,821,108 : 775,609,650 = 775,609,650 : x
  2. Step 2: Convert to fraction form
    516,821,108/775,609,650 = 775,609,650/x
  3. Step 3: Cross multiply
    516,821,108x = 775,609,650 × 775,609,650
  4. Step 4: Simplify right side
    516,821,108x = 601,570,329,173,122,560
  5. Step 5: Solve for x
    x = 601,570,329,173,122,560/516,821,108
  6. Step 6: Final answer
    x = 1,163,981,733.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.