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Finding the Third Proportional to 12,473,796 and 18,659,718

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Solution

The third proportional to 12,473,796 and 18,659,718 is: 27,913,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473,796 : 18,659,718 = 18,659,718 : x
  2. Step 2: Convert to fraction form
    12,473,796/18,659,718 = 18,659,718/x
  3. Step 3: Cross multiply
    12,473,796x = 18,659,718 × 18,659,718
  4. Step 4: Simplify right side
    12,473,796x = 348,185,075,839,524
  5. Step 5: Solve for x
    x = 348,185,075,839,524/12,473,796
  6. Step 6: Final answer
    x = 27,913,321.32

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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.