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Finding the Third Proportional to 14,031,969 and 20,990,733.75

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Solution

The third proportional to 14,031,969 and 20,990,733.75 is: 31,400,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031,969 : 20,990,733.75 = 20,990,733.75 : x
  2. Step 2: Convert to fraction form
    14,031,969/20,990,733.75 = 20,990,733.75/x
  3. Step 3: Cross multiply
    14,031,969x = 20,990,733.75 × 20,990,733.75
  4. Step 4: Simplify right side
    14,031,969x = 440,610,903,363,389.06
  5. Step 5: Solve for x
    x = 440,610,903,363,389.06/14,031,969
  6. Step 6: Final answer
    x = 31,400,504.33

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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.