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Finding the Third Proportional to 9,445,217,904 and 20,669,707,728

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Solution

The third proportional to 9,445,217,904 and 20,669,707,728 is: 45,233,135,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445,217,904 : 20,669,707,728 = 20,669,707,728 : x
  2. Step 2: Convert to fraction form
    9,445,217,904/20,669,707,728 = 20,669,707,728/x
  3. Step 3: Cross multiply
    9,445,217,904x = 20,669,707,728 × 20,669,707,728
  4. Step 4: Simplify right side
    9,445,217,904x = 427,236,817,560,942,936,064
  5. Step 5: Solve for x
    x = 427,236,817,560,942,936,064/9,445,217,904
  6. Step 6: Final answer
    x = 45,233,135,106.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.