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Finding the Third Proportional to 9,494,208 and 20,924,640

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Solution

The third proportional to 9,494,208 and 20,924,640 is: 46,116,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494,208 : 20,924,640 = 20,924,640 : x
  2. Step 2: Convert to fraction form
    9,494,208/20,924,640 = 20,924,640/x
  3. Step 3: Cross multiply
    9,494,208x = 20,924,640 × 20,924,640
  4. Step 4: Simplify right side
    9,494,208x = 437,840,559,129,600
  5. Step 5: Solve for x
    x = 437,840,559,129,600/9,494,208
  6. Step 6: Final answer
    x = 46,116,596.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.