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Finding the Third Proportional to 6,905,104 and 10,453,608

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Solution

The third proportional to 6,905,104 and 10,453,608 is: 15,825,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905,104 : 10,453,608 = 10,453,608 : x
  2. Step 2: Convert to fraction form
    6,905,104/10,453,608 = 10,453,608/x
  3. Step 3: Cross multiply
    6,905,104x = 10,453,608 × 10,453,608
  4. Step 4: Simplify right side
    6,905,104x = 109,277,920,217,664
  5. Step 5: Solve for x
    x = 109,277,920,217,664/6,905,104
  6. Step 6: Final answer
    x = 15,825,673.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.