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Finding the Third Proportional to 6,117,448,401 and 9,446,410,912.50

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Solution

The third proportional to 6,117,448,401 and 9,446,410,912.50 is: 14,586,911,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117,448,401 : 9,446,410,912.50 = 9,446,410,912.50 : x
  2. Step 2: Convert to fraction form
    6,117,448,401/9,446,410,912.50 = 9,446,410,912.50/x
  3. Step 3: Cross multiply
    6,117,448,401x = 9,446,410,912.50 × 9,446,410,912.50
  4. Step 4: Simplify right side
    6,117,448,401x = 89,234,679,127,799,087,104
  5. Step 5: Solve for x
    x = 89,234,679,127,799,087,104/6,117,448,401
  6. Step 6: Final answer
    x = 14,586,911,613.87

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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.