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Finding the Third Proportional to 3,974,277,490,248 and 8,644,889,522,760

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Solution

The third proportional to 3,974,277,490,248 and 8,644,889,522,760 is: 18,804,453,147,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974,277,490,248 : 8,644,889,522,760 = 8,644,889,522,760 : x
  2. Step 2: Convert to fraction form
    3,974,277,490,248/8,644,889,522,760 = 8,644,889,522,760/x
  3. Step 3: Cross multiply
    3,974,277,490,248x = 8,644,889,522,760 × 8,644,889,522,760
  4. Step 4: Simplify right side
    3,974,277,490,248x = 74,734,114,860,725,622,139,781,120
  5. Step 5: Solve for x
    x = 74,734,114,860,725,622,139,781,120/3,974,277,490,248
  6. Step 6: Final answer
    x = 18,804,453,147,548.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.