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Finding the Third Proportional to 24,672,224 and 53,463,117

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Solution

The third proportional to 24,672,224 and 53,463,117 is: 115,851,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672,224 : 53,463,117 = 53,463,117 : x
  2. Step 2: Convert to fraction form
    24,672,224/53,463,117 = 53,463,117/x
  3. Step 3: Cross multiply
    24,672,224x = 53,463,117 × 53,463,117
  4. Step 4: Simplify right side
    24,672,224x = 2,858,304,879,355,689
  5. Step 5: Solve for x
    x = 2,858,304,879,355,689/24,672,224
  6. Step 6: Final answer
    x = 115,851,123.89

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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.