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Finding the Third Proportional to 2,920,577,770,665 and 6,243,086,530,386

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Solution

The third proportional to 2,920,577,770,665 and 6,243,086,530,386 is: 13,345,348,929,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920,577,770,665 : 6,243,086,530,386 = 6,243,086,530,386 : x
  2. Step 2: Convert to fraction form
    2,920,577,770,665/6,243,086,530,386 = 6,243,086,530,386/x
  3. Step 3: Cross multiply
    2,920,577,770,665x = 6,243,086,530,386 × 6,243,086,530,386
  4. Step 4: Simplify right side
    2,920,577,770,665x = 38,976,129,425,887,101,622,157,312
  5. Step 5: Solve for x
    x = 38,976,129,425,887,101,622,157,312/2,920,577,770,665
  6. Step 6: Final answer
    x = 13,345,348,929,712.78

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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.