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Finding the Third Proportional to 10,271,623 and 24,291,266

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Solution

The third proportional to 10,271,623 and 24,291,266 is: 57,446,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271,623 : 24,291,266 = 24,291,266 : x
  2. Step 2: Convert to fraction form
    10,271,623/24,291,266 = 24,291,266/x
  3. Step 3: Cross multiply
    10,271,623x = 24,291,266 × 24,291,266
  4. Step 4: Simplify right side
    10,271,623x = 590,065,603,882,756
  5. Step 5: Solve for x
    x = 590,065,603,882,756/10,271,623
  6. Step 6: Final answer
    x = 57,446,189.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.