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Finding the Third Proportional to 12,734,209 and 27,485,057

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Solution

The third proportional to 12,734,209 and 27,485,057 is: 59,322,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734,209 : 27,485,057 = 27,485,057 : x
  2. Step 2: Convert to fraction form
    12,734,209/27,485,057 = 27,485,057/x
  3. Step 3: Cross multiply
    12,734,209x = 27,485,057 × 27,485,057
  4. Step 4: Simplify right side
    12,734,209x = 755,428,358,293,249
  5. Step 5: Solve for x
    x = 755,428,358,293,249/12,734,209
  6. Step 6: Final answer
    x = 59,322,754.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.