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Finding the Third Proportional to 6,477,187,601 and 9,951,482,883

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Solution

The third proportional to 6,477,187,601 and 9,951,482,883 is: 15,289,353,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,187,601 : 9,951,482,883 = 9,951,482,883 : x
  2. Step 2: Convert to fraction form
    6,477,187,601/9,951,482,883 = 9,951,482,883/x
  3. Step 3: Cross multiply
    6,477,187,601x = 9,951,482,883 × 9,951,482,883
  4. Step 4: Simplify right side
    6,477,187,601x = 99,032,011,570,641,993,728
  5. Step 5: Solve for x
    x = 99,032,011,570,641,993,728/6,477,187,601
  6. Step 6: Final answer
    x = 15,289,353,600.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.