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Finding the Third Proportional to 9,195,766.31 and 19,711,832.63

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Solution

The third proportional to 9,195,766.31 and 19,711,832.63 is: 42,253,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195,766.31 : 19,711,832.63 = 19,711,832.63 : x
  2. Step 2: Convert to fraction form
    9,195,766.31/19,711,832.63 = 19,711,832.63/x
  3. Step 3: Cross multiply
    9,195,766.31x = 19,711,832.63 × 19,711,832.63
  4. Step 4: Simplify right side
    9,195,766.31x = 388,556,345,436,014.38
  5. Step 5: Solve for x
    x = 388,556,345,436,014.38/9,195,766.31
  6. Step 6: Final answer
    x = 42,253,829.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.