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Finding the Third Proportional to 24,574,234.50 and 53,237,611.50

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Solution

The third proportional to 24,574,234.50 and 53,237,611.50 is: 115,333,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574,234.50 : 53,237,611.50 = 53,237,611.50 : x
  2. Step 2: Convert to fraction form
    24,574,234.50/53,237,611.50 = 53,237,611.50/x
  3. Step 3: Cross multiply
    24,574,234.50x = 53,237,611.50 × 53,237,611.50
  4. Step 4: Simplify right side
    24,574,234.50x = 2,834,243,278,224,932
  5. Step 5: Solve for x
    x = 2,834,243,278,224,932/24,574,234.50
  6. Step 6: Final answer
    x = 115,333,939.63

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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.