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Finding the Third Proportional to 6,806,664 and 10,538,220

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Solution

The third proportional to 6,806,664 and 10,538,220 is: 16,315,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806,664 : 10,538,220 = 10,538,220 : x
  2. Step 2: Convert to fraction form
    6,806,664/10,538,220 = 10,538,220/x
  3. Step 3: Cross multiply
    6,806,664x = 10,538,220 × 10,538,220
  4. Step 4: Simplify right side
    6,806,664x = 111,054,080,768,400
  5. Step 5: Solve for x
    x = 111,054,080,768,400/6,806,664
  6. Step 6: Final answer
    x = 16,315,493.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.