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Finding the Third Proportional to 23,393,819.25 and 52,166,642.63

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Solution

The third proportional to 23,393,819.25 and 52,166,642.63 is: 116,328,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,393,819.25 : 52,166,642.63 = 52,166,642.63 : x
  2. Step 2: Convert to fraction form
    23,393,819.25/52,166,642.63 = 52,166,642.63/x
  3. Step 3: Cross multiply
    23,393,819.25x = 52,166,642.63 × 52,166,642.63
  4. Step 4: Simplify right side
    23,393,819.25x = 2,721,358,602,764,467
  5. Step 5: Solve for x
    x = 2,721,358,602,764,467/23,393,819.25
  6. Step 6: Final answer
    x = 116,328,102.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.