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Finding the Third Proportional to 6,740,577 and 14,425,938

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Solution

The third proportional to 6,740,577 and 14,425,938 is: 30,873,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740,577 : 14,425,938 = 14,425,938 : x
  2. Step 2: Convert to fraction form
    6,740,577/14,425,938 = 14,425,938/x
  3. Step 3: Cross multiply
    6,740,577x = 14,425,938 × 14,425,938
  4. Step 4: Simplify right side
    6,740,577x = 208,107,687,179,844
  5. Step 5: Solve for x
    x = 208,107,687,179,844/6,740,577
  6. Step 6: Final answer
    x = 30,873,868.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.