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Finding the Third Proportional to 5,137,952.13 and 10,700,964.42

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Solution

The third proportional to 5,137,952.13 and 10,700,964.42 is: 22,287,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137,952.13 : 10,700,964.42 = 10,700,964.42 : x
  2. Step 2: Convert to fraction form
    5,137,952.13/10,700,964.42 = 10,700,964.42/x
  3. Step 3: Cross multiply
    5,137,952.13x = 10,700,964.42 × 10,700,964.42
  4. Step 4: Simplify right side
    5,137,952.13x = 114,510,639,558,234.55
  5. Step 5: Solve for x
    x = 114,510,639,558,234.55/5,137,952.13
  6. Step 6: Final answer
    x = 22,287,214.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.