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Finding the Third Proportional to 3,987,939,657 and 8,726,387,736

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Solution

The third proportional to 3,987,939,657 and 8,726,387,736 is: 19,095,033,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987,939,657 : 8,726,387,736 = 8,726,387,736 : x
  2. Step 2: Convert to fraction form
    3,987,939,657/8,726,387,736 = 8,726,387,736/x
  3. Step 3: Cross multiply
    3,987,939,657x = 8,726,387,736 × 8,726,387,736
  4. Step 4: Simplify right side
    3,987,939,657x = 76,149,842,919,011,205,120
  5. Step 5: Solve for x
    x = 76,149,842,919,011,205,120/3,987,939,657
  6. Step 6: Final answer
    x = 19,095,033,894.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.