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Finding the Third Proportional to 13,703,827 and 30,471,612

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Solution

The third proportional to 13,703,827 and 30,471,612 is: 67,756,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703,827 : 30,471,612 = 30,471,612 : x
  2. Step 2: Convert to fraction form
    13,703,827/30,471,612 = 30,471,612/x
  3. Step 3: Cross multiply
    13,703,827x = 30,471,612 × 30,471,612
  4. Step 4: Simplify right side
    13,703,827x = 928,519,137,878,544
  5. Step 5: Solve for x
    x = 928,519,137,878,544/13,703,827
  6. Step 6: Final answer
    x = 67,756,192.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.