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Finding the Third Proportional to 13,706,443 and 30,476,611

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Solution

The third proportional to 13,706,443 and 30,476,611 is: 67,765,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706,443 : 30,476,611 = 30,476,611 : x
  2. Step 2: Convert to fraction form
    13,706,443/30,476,611 = 30,476,611/x
  3. Step 3: Cross multiply
    13,706,443x = 30,476,611 × 30,476,611
  4. Step 4: Simplify right side
    13,706,443x = 928,823,818,045,321
  5. Step 5: Solve for x
    x = 928,823,818,045,321/13,706,443
  6. Step 6: Final answer
    x = 67,765,489.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.