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Finding the Third Proportional to 1,904,826,492 and 4,101,563,538

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Solution

The third proportional to 1,904,826,492 and 4,101,563,538 is: 8,831,682,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904,826,492 : 4,101,563,538 = 4,101,563,538 : x
  2. Step 2: Convert to fraction form
    1,904,826,492/4,101,563,538 = 4,101,563,538/x
  3. Step 3: Cross multiply
    1,904,826,492x = 4,101,563,538 × 4,101,563,538
  4. Step 4: Simplify right side
    1,904,826,492x = 16,822,823,456,251,076,608
  5. Step 5: Solve for x
    x = 16,822,823,456,251,076,608/1,904,826,492
  6. Step 6: Final answer
    x = 8,831,682,847.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.