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Finding the Third Proportional to 49,171,926,882 and 105,801,684,468

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Solution

The third proportional to 49,171,926,882 and 105,801,684,468 is: 227,650,148,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,171,926,882 : 105,801,684,468 = 105,801,684,468 : x
  2. Step 2: Convert to fraction form
    49,171,926,882/105,801,684,468 = 105,801,684,468/x
  3. Step 3: Cross multiply
    49,171,926,882x = 105,801,684,468 × 105,801,684,468
  4. Step 4: Simplify right side
    49,171,926,882x = 11,193,996,436,266,232,578,048
  5. Step 5: Solve for x
    x = 11,193,996,436,266,232,578,048/49,171,926,882
  6. Step 6: Final answer
    x = 227,650,148,084.07

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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.