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Finding the Third Proportional to 17,531,922,850 and 37,546,214,468

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Solution

The third proportional to 17,531,922,850 and 37,546,214,468 is: 80,408,648,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531,922,850 : 37,546,214,468 = 37,546,214,468 : x
  2. Step 2: Convert to fraction form
    17,531,922,850/37,546,214,468 = 37,546,214,468/x
  3. Step 3: Cross multiply
    17,531,922,850x = 37,546,214,468 × 37,546,214,468
  4. Step 4: Simplify right side
    17,531,922,850x = 1,409,718,220,877,052,510,208
  5. Step 5: Solve for x
    x = 1,409,718,220,877,052,510,208/17,531,922,850
  6. Step 6: Final answer
    x = 80,408,648,437.39

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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.