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Finding the Third Proportional to 14,257,620 and 33,646,536

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Solution

The third proportional to 14,257,620 and 33,646,536 is: 79,402,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257,620 : 33,646,536 = 33,646,536 : x
  2. Step 2: Convert to fraction form
    14,257,620/33,646,536 = 33,646,536/x
  3. Step 3: Cross multiply
    14,257,620x = 33,646,536 × 33,646,536
  4. Step 4: Simplify right side
    14,257,620x = 1,132,089,384,799,296
  5. Step 5: Solve for x
    x = 1,132,089,384,799,296/14,257,620
  6. Step 6: Final answer
    x = 79,402,409.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.