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Finding the Third Proportional to 2,334,536,992 and 3,643,142,064

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Solution

The third proportional to 2,334,536,992 and 3,643,142,064 is: 5,685,274,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334,536,992 : 3,643,142,064 = 3,643,142,064 : x
  2. Step 2: Convert to fraction form
    2,334,536,992/3,643,142,064 = 3,643,142,064/x
  3. Step 3: Cross multiply
    2,334,536,992x = 3,643,142,064 × 3,643,142,064
  4. Step 4: Simplify right side
    2,334,536,992x = 13,272,484,098,486,179,840
  5. Step 5: Solve for x
    x = 13,272,484,098,486,179,840/2,334,536,992
  6. Step 6: Final answer
    x = 5,685,274,700.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.