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Finding the Third Proportional to 19,101,396,672 and 41,105,169,792

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Solution

The third proportional to 19,101,396,672 and 41,105,169,792 is: 88,456,096,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101,396,672 : 41,105,169,792 = 41,105,169,792 : x
  2. Step 2: Convert to fraction form
    19,101,396,672/41,105,169,792 = 41,105,169,792/x
  3. Step 3: Cross multiply
    19,101,396,672x = 41,105,169,792 × 41,105,169,792
  4. Step 4: Simplify right side
    19,101,396,672x = 1,689,634,983,629,149,437,952
  5. Step 5: Solve for x
    x = 1,689,634,983,629,149,437,952/19,101,396,672
  6. Step 6: Final answer
    x = 88,456,096,307.65

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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.