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Finding the Third Proportional to 2,981,664 and 6,435,432

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Solution

The third proportional to 2,981,664 and 6,435,432 is: 13,889,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,664 : 6,435,432 = 6,435,432 : x
  2. Step 2: Convert to fraction form
    2,981,664/6,435,432 = 6,435,432/x
  3. Step 3: Cross multiply
    2,981,664x = 6,435,432 × 6,435,432
  4. Step 4: Simplify right side
    2,981,664x = 41,414,785,026,624
  5. Step 5: Solve for x
    x = 41,414,785,026,624/2,981,664
  6. Step 6: Final answer
    x = 13,889,822.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.