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Finding the Third Proportional to 21,044,120,380 and 45,792,853,676

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Solution

The third proportional to 21,044,120,380 and 45,792,853,676 is: 99,647,094,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,044,120,380 : 45,792,853,676 = 45,792,853,676 : x
  2. Step 2: Convert to fraction form
    21,044,120,380/45,792,853,676 = 45,792,853,676/x
  3. Step 3: Cross multiply
    21,044,120,380x = 45,792,853,676 × 45,792,853,676
  4. Step 4: Simplify right side
    21,044,120,380x = 2,096,985,447,791,546,597,376
  5. Step 5: Solve for x
    x = 2,096,985,447,791,546,597,376/21,044,120,380
  6. Step 6: Final answer
    x = 99,647,094,291.69

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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.