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Finding the Third Proportional to 11,219,719.50 and 24,210,909

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Solution

The third proportional to 11,219,719.50 and 24,210,909 is: 52,244,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219,719.50 : 24,210,909 = 24,210,909 : x
  2. Step 2: Convert to fraction form
    11,219,719.50/24,210,909 = 24,210,909/x
  3. Step 3: Cross multiply
    11,219,719.50x = 24,210,909 × 24,210,909
  4. Step 4: Simplify right side
    11,219,719.50x = 586,168,114,606,281
  5. Step 5: Solve for x
    x = 586,168,114,606,281/11,219,719.50
  6. Step 6: Final answer
    x = 52,244,453.58

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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.