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Finding the Third Proportional to 905,466,376 and 1,940,013,936

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Solution

The third proportional to 905,466,376 and 1,940,013,936 is: 4,156,591,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,466,376 : 1,940,013,936 = 1,940,013,936 : x
  2. Step 2: Convert to fraction form
    905,466,376/1,940,013,936 = 1,940,013,936/x
  3. Step 3: Cross multiply
    905,466,376x = 1,940,013,936 × 1,940,013,936
  4. Step 4: Simplify right side
    905,466,376x = 3,763,654,071,874,211,840
  5. Step 5: Solve for x
    x = 3,763,654,071,874,211,840/905,466,376
  6. Step 6: Final answer
    x = 4,156,591,753.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.