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Finding the Third Proportional to 1,542,684,902 and 2,350,121,056

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Solution

The third proportional to 1,542,684,902 and 2,350,121,056 is: 3,580,166,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,684,902 : 2,350,121,056 = 2,350,121,056 : x
  2. Step 2: Convert to fraction form
    1,542,684,902/2,350,121,056 = 2,350,121,056/x
  3. Step 3: Cross multiply
    1,542,684,902x = 2,350,121,056 × 2,350,121,056
  4. Step 4: Simplify right side
    1,542,684,902x = 5,523,068,977,854,555,136
  5. Step 5: Solve for x
    x = 5,523,068,977,854,555,136/1,542,684,902
  6. Step 6: Final answer
    x = 3,580,166,611.27

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Why These Related Problems?

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