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Finding the Third Proportional to 2,472,403.50 and 5,355,849.09

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Solution

The third proportional to 2,472,403.50 and 5,355,849.09 is: 11,602,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,403.50 : 5,355,849.09 = 5,355,849.09 : x
  2. Step 2: Convert to fraction form
    2,472,403.50/5,355,849.09 = 5,355,849.09/x
  3. Step 3: Cross multiply
    2,472,403.50x = 5,355,849.09 × 5,355,849.09
  4. Step 4: Simplify right side
    2,472,403.50x = 28,685,119,515,022.70
  5. Step 5: Solve for x
    x = 28,685,119,515,022.70/2,472,403.50
  6. Step 6: Final answer
    x = 11,602,118.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.