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Finding the Third Proportional to 12,385,527.75 and 25,900,367.63

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Solution

The third proportional to 12,385,527.75 and 25,900,367.63 is: 54,162,330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385,527.75 : 25,900,367.63 = 25,900,367.63 : x
  2. Step 2: Convert to fraction form
    12,385,527.75/25,900,367.63 = 25,900,367.63/x
  3. Step 3: Cross multiply
    12,385,527.75x = 25,900,367.63 × 25,900,367.63
  4. Step 4: Simplify right side
    12,385,527.75x = 670,829,043,110,148.12
  5. Step 5: Solve for x
    x = 670,829,043,110,148.12/12,385,527.75
  6. Step 6: Final answer
    x = 54,162,330.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.