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Finding the Third Proportional to 4,435,173 and 9,623,214

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Solution

The third proportional to 4,435,173 and 9,623,214 is: 20,879,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435,173 : 9,623,214 = 9,623,214 : x
  2. Step 2: Convert to fraction form
    4,435,173/9,623,214 = 9,623,214/x
  3. Step 3: Cross multiply
    4,435,173x = 9,623,214 × 9,623,214
  4. Step 4: Simplify right side
    4,435,173x = 92,606,247,689,796
  5. Step 5: Solve for x
    x = 92,606,247,689,796/4,435,173
  6. Step 6: Final answer
    x = 20,879,962.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.