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Finding the Third Proportional to 13,420,410 and 20,653,767

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Solution

The third proportional to 13,420,410 and 20,653,767 is: 31,785,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420,410 : 20,653,767 = 20,653,767 : x
  2. Step 2: Convert to fraction form
    13,420,410/20,653,767 = 20,653,767/x
  3. Step 3: Cross multiply
    13,420,410x = 20,653,767 × 20,653,767
  4. Step 4: Simplify right side
    13,420,410x = 426,578,091,290,289
  5. Step 5: Solve for x
    x = 426,578,091,290,289/13,420,410
  6. Step 6: Final answer
    x = 31,785,771.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.