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Finding the Third Proportional to 3,897,480,898 and 9,094,436,377

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Solution

The third proportional to 3,897,480,898 and 9,094,436,377 is: 21,221,084,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,480,898 : 9,094,436,377 = 9,094,436,377 : x
  2. Step 2: Convert to fraction form
    3,897,480,898/9,094,436,377 = 9,094,436,377/x
  3. Step 3: Cross multiply
    3,897,480,898x = 9,094,436,377 × 9,094,436,377
  4. Step 4: Simplify right side
    3,897,480,898x = 82,708,773,015,300,882,432
  5. Step 5: Solve for x
    x = 82,708,773,015,300,882,432/3,897,480,898
  6. Step 6: Final answer
    x = 21,221,084,895.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.