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Finding the Third Proportional to 7,368,097,812 and 16,027,164,168

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Solution

The third proportional to 7,368,097,812 and 16,027,164,168 is: 34,862,456,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,368,097,812 : 16,027,164,168 = 16,027,164,168 : x
  2. Step 2: Convert to fraction form
    7,368,097,812/16,027,164,168 = 16,027,164,168/x
  3. Step 3: Cross multiply
    7,368,097,812x = 16,027,164,168 × 16,027,164,168
  4. Step 4: Simplify right side
    7,368,097,812x = 256,869,991,268,023,140,352
  5. Step 5: Solve for x
    x = 256,869,991,268,023,140,352/7,368,097,812
  6. Step 6: Final answer
    x = 34,862,456,745.58

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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.