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Finding the Third Proportional to 2,920,577,770,732 and 6,243,086,530,520

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Solution

The third proportional to 2,920,577,770,732 and 6,243,086,530,520 is: 13,345,348,929,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920,577,770,732 : 6,243,086,530,520 = 6,243,086,530,520 : x
  2. Step 2: Convert to fraction form
    2,920,577,770,732/6,243,086,530,520 = 6,243,086,530,520/x
  3. Step 3: Cross multiply
    2,920,577,770,732x = 6,243,086,530,520 × 6,243,086,530,520
  4. Step 4: Simplify right side
    2,920,577,770,732x = 38,976,129,427,560,249,081,987,072
  5. Step 5: Solve for x
    x = 38,976,129,427,560,249,081,987,072/2,920,577,770,732
  6. Step 6: Final answer
    x = 13,345,348,929,979.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.