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Finding the Third Proportional to 9,105,636.75 and 19,509,339

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Solution

The third proportional to 9,105,636.75 and 19,509,339 is: 41,799,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105,636.75 : 19,509,339 = 19,509,339 : x
  2. Step 2: Convert to fraction form
    9,105,636.75/19,509,339 = 19,509,339/x
  3. Step 3: Cross multiply
    9,105,636.75x = 19,509,339 × 19,509,339
  4. Step 4: Simplify right side
    9,105,636.75x = 380,614,308,216,921
  5. Step 5: Solve for x
    x = 380,614,308,216,921/9,105,636.75
  6. Step 6: Final answer
    x = 41,799,856.36

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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.