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Finding the Third Proportional to 82,797,447,718 and 180,101,865,068

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Solution

The third proportional to 82,797,447,718 and 180,101,865,068 is: 391,759,440,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,797,447,718 : 180,101,865,068 = 180,101,865,068 : x
  2. Step 2: Convert to fraction form
    82,797,447,718/180,101,865,068 = 180,101,865,068/x
  3. Step 3: Cross multiply
    82,797,447,718x = 180,101,865,068 × 180,101,865,068
  4. Step 4: Simplify right side
    82,797,447,718x = 32,436,681,800,972,077,367,296
  5. Step 5: Solve for x
    x = 32,436,681,800,972,077,367,296/82,797,447,718
  6. Step 6: Final answer
    x = 391,759,440,598.32

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Why These Related Problems?

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