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Finding the Third Proportional to 82,797,447,715 and 180,101,865,060

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Solution

The third proportional to 82,797,447,715 and 180,101,865,060 is: 391,759,440,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,797,447,715 : 180,101,865,060 = 180,101,865,060 : x
  2. Step 2: Convert to fraction form
    82,797,447,715/180,101,865,060 = 180,101,865,060/x
  3. Step 3: Cross multiply
    82,797,447,715x = 180,101,865,060 × 180,101,865,060
  4. Step 4: Simplify right side
    82,797,447,715x = 32,436,681,798,090,447,912,960
  5. Step 5: Solve for x
    x = 32,436,681,798,090,447,912,960/82,797,447,715
  6. Step 6: Final answer
    x = 391,759,440,577.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.