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Finding the Third Proportional to 9,850,173 and 15,735,636

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Solution

The third proportional to 9,850,173 and 15,735,636 is: 25,137,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850,173 : 15,735,636 = 15,735,636 : x
  2. Step 2: Convert to fraction form
    9,850,173/15,735,636 = 15,735,636/x
  3. Step 3: Cross multiply
    9,850,173x = 15,735,636 × 15,735,636
  4. Step 4: Simplify right side
    9,850,173x = 247,610,240,324,496
  5. Step 5: Solve for x
    x = 247,610,240,324,496/9,850,173
  6. Step 6: Final answer
    x = 25,137,653.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.