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Finding the Third Proportional to 6,477,187,599 and 9,951,482,880

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Solution

The third proportional to 6,477,187,599 and 9,951,482,880 is: 15,289,353,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,187,599 : 9,951,482,880 = 9,951,482,880 : x
  2. Step 2: Convert to fraction form
    6,477,187,599/9,951,482,880 = 9,951,482,880/x
  3. Step 3: Cross multiply
    6,477,187,599x = 9,951,482,880 × 9,951,482,880
  4. Step 4: Simplify right side
    6,477,187,599x = 99,032,011,510,933,094,400
  5. Step 5: Solve for x
    x = 99,032,011,510,933,094,400/6,477,187,599
  6. Step 6: Final answer
    x = 15,289,353,596.34

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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.