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Finding the Third Proportional to 49,171,926,884 and 105,801,684,472

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Solution

The third proportional to 49,171,926,884 and 105,801,684,472 is: 227,650,148,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,171,926,884 : 105,801,684,472 = 105,801,684,472 : x
  2. Step 2: Convert to fraction form
    49,171,926,884/105,801,684,472 = 105,801,684,472/x
  3. Step 3: Cross multiply
    49,171,926,884x = 105,801,684,472 × 105,801,684,472
  4. Step 4: Simplify right side
    49,171,926,884x = 11,193,996,437,112,645,222,400
  5. Step 5: Solve for x
    x = 11,193,996,437,112,645,222,400/49,171,926,884
  6. Step 6: Final answer
    x = 227,650,148,092.02

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