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Finding the Third Proportional to 10,203,545 and 22,200,635

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Solution

The third proportional to 10,203,545 and 22,200,635 is: 48,303,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,545 : 22,200,635 = 22,200,635 : x
  2. Step 2: Convert to fraction form
    10,203,545/22,200,635 = 22,200,635/x
  3. Step 3: Cross multiply
    10,203,545x = 22,200,635 × 22,200,635
  4. Step 4: Simplify right side
    10,203,545x = 492,868,194,403,225
  5. Step 5: Solve for x
    x = 492,868,194,403,225/10,203,545
  6. Step 6: Final answer
    x = 48,303,623.34

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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.