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Finding the Third Proportional to 775,291,878 and 1,701,222,678

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Solution

The third proportional to 775,291,878 and 1,701,222,678 is: 3,732,992,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,291,878 : 1,701,222,678 = 1,701,222,678 : x
  2. Step 2: Convert to fraction form
    775,291,878/1,701,222,678 = 1,701,222,678/x
  3. Step 3: Cross multiply
    775,291,878x = 1,701,222,678 × 1,701,222,678
  4. Step 4: Simplify right side
    775,291,878x = 2,894,158,600,141,491,712
  5. Step 5: Solve for x
    x = 2,894,158,600,141,491,712/775,291,878
  6. Step 6: Final answer
    x = 3,732,992,286.22

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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.