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Finding the Third Proportional to 6,021,959,264 and 12,538,800,736

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Solution

The third proportional to 6,021,959,264 and 12,538,800,736 is: 26,108,035,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021,959,264 : 12,538,800,736 = 12,538,800,736 : x
  2. Step 2: Convert to fraction form
    6,021,959,264/12,538,800,736 = 12,538,800,736/x
  3. Step 3: Cross multiply
    6,021,959,264x = 12,538,800,736 × 12,538,800,736
  4. Step 4: Simplify right side
    6,021,959,264x = 157,221,523,897,114,132,480
  5. Step 5: Solve for x
    x = 157,221,523,897,114,132,480/6,021,959,264
  6. Step 6: Final answer
    x = 26,108,035,110.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.