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Finding the Third Proportional to 21,044,114,876 and 45,792,842,635

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Solution

The third proportional to 21,044,114,876 and 45,792,842,635 is: 99,647,072,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,044,114,876 : 45,792,842,635 = 45,792,842,635 : x
  2. Step 2: Convert to fraction form
    21,044,114,876/45,792,842,635 = 45,792,842,635/x
  3. Step 3: Cross multiply
    21,044,114,876x = 45,792,842,635 × 45,792,842,635
  4. Step 4: Simplify right side
    21,044,114,876x = 2,096,984,436,593,873,649,664
  5. Step 5: Solve for x
    x = 2,096,984,436,593,873,649,664/21,044,114,876
  6. Step 6: Final answer
    x = 99,647,072,302.64

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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.