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Finding the Third Proportional to 19,188,194.63 and 31,329,278.72

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Solution

The third proportional to 19,188,194.63 and 31,329,278.72 is: 51,152,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188,194.63 : 31,329,278.72 = 31,329,278.72 : x
  2. Step 2: Convert to fraction form
    19,188,194.63/31,329,278.72 = 31,329,278.72/x
  3. Step 3: Cross multiply
    19,188,194.63x = 31,329,278.72 × 31,329,278.72
  4. Step 4: Simplify right side
    19,188,194.63x = 981,523,705,037,121.62
  5. Step 5: Solve for x
    x = 981,523,705,037,121.62/19,188,194.63
  6. Step 6: Final answer
    x = 51,152,478.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.