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Finding the Third Proportional to 1,642,609,907,227.20 and 2,414,709,431,775.90

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Solution

The third proportional to 1,642,609,907,227.20 and 2,414,709,431,775.90 is: 3,549,729,984,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,609,907,227.20 : 2,414,709,431,775.90 = 2,414,709,431,775.90 : x
  2. Step 2: Convert to fraction form
    1,642,609,907,227.20/2,414,709,431,775.90 = 2,414,709,431,775.90/x
  3. Step 3: Cross multiply
    1,642,609,907,227.20x = 2,414,709,431,775.90 × 2,414,709,431,775.90
  4. Step 4: Simplify right side
    1,642,609,907,227.20x = 5,830,821,639,907,489,831,976,960
  5. Step 5: Solve for x
    x = 5,830,821,639,907,489,831,976,960/1,642,609,907,227.20
  6. Step 6: Final answer
    x = 3,549,729,984,126.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.