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Finding the Third Proportional to 23,185,827 and 31,488,594.75

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Solution

The third proportional to 23,185,827 and 31,488,594.75 is: 42,764,556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185,827 : 31,488,594.75 = 31,488,594.75 : x
  2. Step 2: Convert to fraction form
    23,185,827/31,488,594.75 = 31,488,594.75/x
  3. Step 3: Cross multiply
    23,185,827x = 31,488,594.75 × 31,488,594.75
  4. Step 4: Simplify right side
    23,185,827x = 991,531,599,329,727.50
  5. Step 5: Solve for x
    x = 991,531,599,329,727.50/23,185,827
  6. Step 6: Final answer
    x = 42,764,556.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.