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Finding the Third Proportional to 21,044,120,843 and 45,792,854,605

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Solution

The third proportional to 21,044,120,843 and 45,792,854,605 is: 99,647,096,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,044,120,843 : 45,792,854,605 = 45,792,854,605 : x
  2. Step 2: Convert to fraction form
    21,044,120,843/45,792,854,605 = 45,792,854,605/x
  3. Step 3: Cross multiply
    21,044,120,843x = 45,792,854,605 × 45,792,854,605
  4. Step 4: Simplify right side
    21,044,120,843x = 2,096,985,532,874,669,686,784
  5. Step 5: Solve for x
    x = 2,096,985,532,874,669,686,784/21,044,120,843
  6. Step 6: Final answer
    x = 99,647,096,142.40

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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.