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Finding the Third Proportional to 1,542,684,914 and 2,350,121,074

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Solution

The third proportional to 1,542,684,914 and 2,350,121,074 is: 3,580,166,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,684,914 : 2,350,121,074 = 2,350,121,074 : x
  2. Step 2: Convert to fraction form
    1,542,684,914/2,350,121,074 = 2,350,121,074/x
  3. Step 3: Cross multiply
    1,542,684,914x = 2,350,121,074 × 2,350,121,074
  4. Step 4: Simplify right side
    1,542,684,914x = 5,523,069,062,458,913,792
  5. Step 5: Solve for x
    x = 5,523,069,062,458,913,792/1,542,684,914
  6. Step 6: Final answer
    x = 3,580,166,638.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.