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Finding the Third Proportional to 51,078,607,660 and 119,342,675,074

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Solution

The third proportional to 51,078,607,660 and 119,342,675,074 is: 278,838,338,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,078,607,660 : 119,342,675,074 = 119,342,675,074 : x
  2. Step 2: Convert to fraction form
    51,078,607,660/119,342,675,074 = 119,342,675,074/x
  3. Step 3: Cross multiply
    51,078,607,660x = 119,342,675,074 × 119,342,675,074
  4. Step 4: Simplify right side
    51,078,607,660x = 14,242,674,093,818,340,442,112
  5. Step 5: Solve for x
    x = 14,242,674,093,818,340,442,112/51,078,607,660
  6. Step 6: Final answer
    x = 278,838,338,519.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.