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Finding the Third Proportional to 6,468,844,216 and 9,677,407,191

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Solution

The third proportional to 6,468,844,216 and 9,677,407,191 is: 14,477,425,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,844,216 : 9,677,407,191 = 9,677,407,191 : x
  2. Step 2: Convert to fraction form
    6,468,844,216/9,677,407,191 = 9,677,407,191/x
  3. Step 3: Cross multiply
    6,468,844,216x = 9,677,407,191 × 9,677,407,191
  4. Step 4: Simplify right side
    6,468,844,216x = 93,652,209,940,418,510,848
  5. Step 5: Solve for x
    x = 93,652,209,940,418,510,848/6,468,844,216
  6. Step 6: Final answer
    x = 14,477,425,458.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.