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Finding the Third Proportional to 6,538,893 and 14,254,839

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Solution

The third proportional to 6,538,893 and 14,254,839 is: 31,075,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538,893 : 14,254,839 = 14,254,839 : x
  2. Step 2: Convert to fraction form
    6,538,893/14,254,839 = 14,254,839/x
  3. Step 3: Cross multiply
    6,538,893x = 14,254,839 × 14,254,839
  4. Step 4: Simplify right side
    6,538,893x = 203,200,434,915,921
  5. Step 5: Solve for x
    x = 203,200,434,915,921/6,538,893
  6. Step 6: Final answer
    x = 31,075,662.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.