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Finding the Third Proportional to 4,535,163 and 9,867,420

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Solution

The third proportional to 4,535,163 and 9,867,420 is: 21,469,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,163 : 9,867,420 = 9,867,420 : x
  2. Step 2: Convert to fraction form
    4,535,163/9,867,420 = 9,867,420/x
  3. Step 3: Cross multiply
    4,535,163x = 9,867,420 × 9,867,420
  4. Step 4: Simplify right side
    4,535,163x = 97,365,977,456,400
  5. Step 5: Solve for x
    x = 97,365,977,456,400/4,535,163
  6. Step 6: Final answer
    x = 21,469,124.14

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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.