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Finding the Third Proportional to 9,097,325,858 and 13,757,963,187

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Solution

The third proportional to 9,097,325,858 and 13,757,963,187 is: 20,806,284,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097,325,858 : 13,757,963,187 = 13,757,963,187 : x
  2. Step 2: Convert to fraction form
    9,097,325,858/13,757,963,187 = 13,757,963,187/x
  3. Step 3: Cross multiply
    9,097,325,858x = 13,757,963,187 × 13,757,963,187
  4. Step 4: Simplify right side
    9,097,325,858x = 189,281,551,054,847,180,800
  5. Step 5: Solve for x
    x = 189,281,551,054,847,180,800/9,097,325,858
  6. Step 6: Final answer
    x = 20,806,284,616.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.