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Finding the Third Proportional to 9,638,544 and 20,271,076

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Solution

The third proportional to 9,638,544 and 20,271,076 is: 42,632,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638,544 : 20,271,076 = 20,271,076 : x
  2. Step 2: Convert to fraction form
    9,638,544/20,271,076 = 20,271,076/x
  3. Step 3: Cross multiply
    9,638,544x = 20,271,076 × 20,271,076
  4. Step 4: Simplify right side
    9,638,544x = 410,916,522,197,776
  5. Step 5: Solve for x
    x = 410,916,522,197,776/9,638,544
  6. Step 6: Final answer
    x = 42,632,634.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.