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Finding the Third Proportional to 9,714,864 and 15,440,616

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Solution

The third proportional to 9,714,864 and 15,440,616 is: 24,541,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714,864 : 15,440,616 = 15,440,616 : x
  2. Step 2: Convert to fraction form
    9,714,864/15,440,616 = 15,440,616/x
  3. Step 3: Cross multiply
    9,714,864x = 15,440,616 × 15,440,616
  4. Step 4: Simplify right side
    9,714,864x = 238,412,622,459,456
  5. Step 5: Solve for x
    x = 238,412,622,459,456/9,714,864
  6. Step 6: Final answer
    x = 24,541,014.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.