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Finding the Third Proportional to 6,310,896 and 13,823,094

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Solution

The third proportional to 6,310,896 and 13,823,094 is: 30,277,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310,896 : 13,823,094 = 13,823,094 : x
  2. Step 2: Convert to fraction form
    6,310,896/13,823,094 = 13,823,094/x
  3. Step 3: Cross multiply
    6,310,896x = 13,823,094 × 13,823,094
  4. Step 4: Simplify right side
    6,310,896x = 191,077,927,732,836
  5. Step 5: Solve for x
    x = 191,077,927,732,836/6,310,896
  6. Step 6: Final answer
    x = 30,277,464.20

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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.