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Finding the Third Proportional to 24,419,569.50 and 53,090,667

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Solution

The third proportional to 24,419,569.50 and 53,090,667 is: 115,424,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419,569.50 : 53,090,667 = 53,090,667 : x
  2. Step 2: Convert to fraction form
    24,419,569.50/53,090,667 = 53,090,667/x
  3. Step 3: Cross multiply
    24,419,569.50x = 53,090,667 × 53,090,667
  4. Step 4: Simplify right side
    24,419,569.50x = 2,818,618,922,504,889
  5. Step 5: Solve for x
    x = 2,818,618,922,504,889/24,419,569.50
  6. Step 6: Final answer
    x = 115,424,595.12

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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.