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Finding the Third Proportional to 1,918,456,598 and 4,198,543,231

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Solution

The third proportional to 1,918,456,598 and 4,198,543,231 is: 9,188,513,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918,456,598 : 4,198,543,231 = 4,198,543,231 : x
  2. Step 2: Convert to fraction form
    1,918,456,598/4,198,543,231 = 4,198,543,231/x
  3. Step 3: Cross multiply
    1,918,456,598x = 4,198,543,231 × 4,198,543,231
  4. Step 4: Simplify right side
    1,918,456,598x = 17,627,765,262,575,919,104
  5. Step 5: Solve for x
    x = 17,627,765,262,575,919,104/1,918,456,598
  6. Step 6: Final answer
    x = 9,188,513,975.74

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