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Finding the Third Proportional to 31,981,284 and 45,579,834

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Solution

The third proportional to 31,981,284 and 45,579,834 is: 64,960,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,981,284 : 45,579,834 = 45,579,834 : x
  2. Step 2: Convert to fraction form
    31,981,284/45,579,834 = 45,579,834/x
  3. Step 3: Cross multiply
    31,981,284x = 45,579,834 × 45,579,834
  4. Step 4: Simplify right side
    31,981,284x = 2,077,521,267,467,556
  5. Step 5: Solve for x
    x = 2,077,521,267,467,556/31,981,284
  6. Step 6: Final answer
    x = 64,960,533.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.