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Finding the Third Proportional to 6,310,912 and 13,823,124

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Solution

The third proportional to 6,310,912 and 13,823,124 is: 30,277,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310,912 : 13,823,124 = 13,823,124 : x
  2. Step 2: Convert to fraction form
    6,310,912/13,823,124 = 13,823,124/x
  3. Step 3: Cross multiply
    6,310,912x = 13,823,124 × 13,823,124
  4. Step 4: Simplify right side
    6,310,912x = 191,078,757,119,376
  5. Step 5: Solve for x
    x = 191,078,757,119,376/6,310,912
  6. Step 6: Final answer
    x = 30,277,518.86

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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.