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Finding the Third Proportional to 19,113,531,949 and 26,575,838,375

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Solution

The third proportional to 19,113,531,949 and 26,575,838,375 is: 36,951,578,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,113,531,949 : 26,575,838,375 = 26,575,838,375 : x
  2. Step 2: Convert to fraction form
    19,113,531,949/26,575,838,375 = 26,575,838,375/x
  3. Step 3: Cross multiply
    19,113,531,949x = 26,575,838,375 × 26,575,838,375
  4. Step 4: Simplify right side
    19,113,531,949x = 706,275,185,334,122,577,920
  5. Step 5: Solve for x
    x = 706,275,185,334,122,577,920/19,113,531,949
  6. Step 6: Final answer
    x = 36,951,578,976.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.