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Finding the Third Proportional to 9,856,512 and 14,744,664

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Solution

The third proportional to 9,856,512 and 14,744,664 is: 22,057,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856,512 : 14,744,664 = 14,744,664 : x
  2. Step 2: Convert to fraction form
    9,856,512/14,744,664 = 14,744,664/x
  3. Step 3: Cross multiply
    9,856,512x = 14,744,664 × 14,744,664
  4. Step 4: Simplify right side
    9,856,512x = 217,405,116,472,896
  5. Step 5: Solve for x
    x = 217,405,116,472,896/9,856,512
  6. Step 6: Final answer
    x = 22,057,003.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.