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Finding the Third Proportional to 31,957,195.78 and 69,894,333

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Solution

The third proportional to 31,957,195.78 and 69,894,333 is: 152,867,536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957,195.78 : 69,894,333 = 69,894,333 : x
  2. Step 2: Convert to fraction form
    31,957,195.78/69,894,333 = 69,894,333/x
  3. Step 3: Cross multiply
    31,957,195.78x = 69,894,333 × 69,894,333
  4. Step 4: Simplify right side
    31,957,195.78x = 4,885,217,785,514,889
  5. Step 5: Solve for x
    x = 4,885,217,785,514,889/31,957,195.78
  6. Step 6: Final answer
    x = 152,867,536.28

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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.