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Finding the Third Proportional to 44,670,647,238 and 96,785,894,964

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Solution

The third proportional to 44,670,647,238 and 96,785,894,964 is: 209,701,673,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,670,647,238 : 96,785,894,964 = 96,785,894,964 : x
  2. Step 2: Convert to fraction form
    44,670,647,238/96,785,894,964 = 96,785,894,964/x
  3. Step 3: Cross multiply
    44,670,647,238x = 96,785,894,964 × 96,785,894,964
  4. Step 4: Simplify right side
    44,670,647,238x = 9,367,509,463,982,440,185,856
  5. Step 5: Solve for x
    x = 9,367,509,463,982,440,185,856/44,670,647,238
  6. Step 6: Final answer
    x = 209,701,673,093.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.