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Finding the Third Proportional to 3,774,709,625 and 8,275,013,362

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Solution

The third proportional to 3,774,709,625 and 8,275,013,362 is: 18,140,692,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774,709,625 : 8,275,013,362 = 8,275,013,362 : x
  2. Step 2: Convert to fraction form
    3,774,709,625/8,275,013,362 = 8,275,013,362/x
  3. Step 3: Cross multiply
    3,774,709,625x = 8,275,013,362 × 8,275,013,362
  4. Step 4: Simplify right side
    3,774,709,625x = 68,475,846,141,278,543,872
  5. Step 5: Solve for x
    x = 68,475,846,141,278,543,872/3,774,709,625
  6. Step 6: Final answer
    x = 18,140,692,382.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.