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Finding the Third Proportional to 42,978,142,524 and 92,486,632,056

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Solution

The third proportional to 42,978,142,524 and 92,486,632,056 is: 199,026,216,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,978,142,524 : 92,486,632,056 = 92,486,632,056 : x
  2. Step 2: Convert to fraction form
    42,978,142,524/92,486,632,056 = 92,486,632,056/x
  3. Step 3: Cross multiply
    42,978,142,524x = 92,486,632,056 × 92,486,632,056
  4. Step 4: Simplify right side
    42,978,142,524x = 8,553,777,109,061,926,387,712
  5. Step 5: Solve for x
    x = 8,553,777,109,061,926,387,712/42,978,142,524
  6. Step 6: Final answer
    x = 199,026,216,739.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.