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Finding the Third Proportional to 5,675,400,264 and 13,260,295,866

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Solution

The third proportional to 5,675,400,264 and 13,260,295,866 is: 30,982,034,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,400,264 : 13,260,295,866 = 13,260,295,866 : x
  2. Step 2: Convert to fraction form
    5,675,400,264/13,260,295,866 = 13,260,295,866/x
  3. Step 3: Cross multiply
    5,675,400,264x = 13,260,295,866 × 13,260,295,866
  4. Step 4: Simplify right side
    5,675,400,264x = 175,835,446,453,856,698,368
  5. Step 5: Solve for x
    x = 175,835,446,453,856,698,368/5,675,400,264
  6. Step 6: Final answer
    x = 30,982,034,442.44

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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.