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Finding the Third Proportional to 19,101,396,696 and 41,105,169,840

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Solution

The third proportional to 19,101,396,696 and 41,105,169,840 is: 88,456,096,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101,396,696 : 41,105,169,840 = 41,105,169,840 : x
  2. Step 2: Convert to fraction form
    19,101,396,696/41,105,169,840 = 41,105,169,840/x
  3. Step 3: Cross multiply
    19,101,396,696x = 41,105,169,840 × 41,105,169,840
  4. Step 4: Simplify right side
    19,101,396,696x = 1,689,634,987,575,245,537,280
  5. Step 5: Solve for x
    x = 1,689,634,987,575,245,537,280/19,101,396,696
  6. Step 6: Final answer
    x = 88,456,096,403.10

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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.