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Finding the Third Proportional to 905,466,408 and 1,940,013,984

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Solution

The third proportional to 905,466,408 and 1,940,013,984 is: 4,156,591,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,466,408 : 1,940,013,984 = 1,940,013,984 : x
  2. Step 2: Convert to fraction form
    905,466,408/1,940,013,984 = 1,940,013,984/x
  3. Step 3: Cross multiply
    905,466,408x = 1,940,013,984 × 1,940,013,984
  4. Step 4: Simplify right side
    905,466,408x = 3,763,654,258,115,552,256
  5. Step 5: Solve for x
    x = 3,763,654,258,115,552,256/905,466,408
  6. Step 6: Final answer
    x = 4,156,591,812.64

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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.