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Finding the Third Proportional to 11,309,369.98 and 24,412,378.96

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Solution

The third proportional to 11,309,369.98 and 24,412,378.96 is: 52,696,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309,369.98 : 24,412,378.96 = 24,412,378.96 : x
  2. Step 2: Convert to fraction form
    11,309,369.98/24,412,378.96 = 24,412,378.96/x
  3. Step 3: Cross multiply
    11,309,369.98x = 24,412,378.96 × 24,412,378.96
  4. Step 4: Simplify right side
    11,309,369.98x = 595,964,246,341,641.12
  5. Step 5: Solve for x
    x = 595,964,246,341,641.12/11,309,369.98
  6. Step 6: Final answer
    x = 52,696,502.77

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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.