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Finding the Third Proportional to 14,031,972 and 20,990,738.25

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Solution

The third proportional to 14,031,972 and 20,990,738.25 is: 31,400,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031,972 : 20,990,738.25 = 20,990,738.25 : x
  2. Step 2: Convert to fraction form
    14,031,972/20,990,738.25 = 20,990,738.25/x
  3. Step 3: Cross multiply
    14,031,972x = 20,990,738.25 × 20,990,738.25
  4. Step 4: Simplify right side
    14,031,972x = 440,611,092,280,013.06
  5. Step 5: Solve for x
    x = 440,611,092,280,013.06/14,031,972
  6. Step 6: Final answer
    x = 31,400,511.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.