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Finding the Third Proportional to 9,099,636.19 and 19,806,170.63

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Solution

The third proportional to 9,099,636.19 and 19,806,170.63 is: 43,109,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,636.19 : 19,806,170.63 = 19,806,170.63 : x
  2. Step 2: Convert to fraction form
    9,099,636.19/19,806,170.63 = 19,806,170.63/x
  3. Step 3: Cross multiply
    9,099,636.19x = 19,806,170.63 × 19,806,170.63
  4. Step 4: Simplify right side
    9,099,636.19x = 392,284,394,826,612.88
  5. Step 5: Solve for x
    x = 392,284,394,826,612.88/9,099,636.19
  6. Step 6: Final answer
    x = 43,109,898.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.