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Finding the Third Proportional to 6,508,928 and 13,470,464

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Solution

The third proportional to 6,508,928 and 13,470,464 is: 27,877,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,928 : 13,470,464 = 13,470,464 : x
  2. Step 2: Convert to fraction form
    6,508,928/13,470,464 = 13,470,464/x
  3. Step 3: Cross multiply
    6,508,928x = 13,470,464 × 13,470,464
  4. Step 4: Simplify right side
    6,508,928x = 181,453,400,375,296
  5. Step 5: Solve for x
    x = 181,453,400,375,296/6,508,928
  6. Step 6: Final answer
    x = 27,877,616.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.