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Finding the Third Proportional to 9,603,806 and 14,649,614

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Solution

The third proportional to 9,603,806 and 14,649,614 is: 22,346,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603,806 : 14,649,614 = 14,649,614 : x
  2. Step 2: Convert to fraction form
    9,603,806/14,649,614 = 14,649,614/x
  3. Step 3: Cross multiply
    9,603,806x = 14,649,614 × 14,649,614
  4. Step 4: Simplify right side
    9,603,806x = 214,611,190,348,996
  5. Step 5: Solve for x
    x = 214,611,190,348,996/9,603,806
  6. Step 6: Final answer
    x = 22,346,472.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.