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Finding the Third Proportional to 9,528,174 and 20,769,336

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Solution

The third proportional to 9,528,174 and 20,769,336 is: 45,272,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528,174 : 20,769,336 = 20,769,336 : x
  2. Step 2: Convert to fraction form
    9,528,174/20,769,336 = 20,769,336/x
  3. Step 3: Cross multiply
    9,528,174x = 20,769,336 × 20,769,336
  4. Step 4: Simplify right side
    9,528,174x = 431,365,317,880,896
  5. Step 5: Solve for x
    x = 431,365,317,880,896/9,528,174
  6. Step 6: Final answer
    x = 45,272,611.30

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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.