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Finding the Third Proportional to 10,271,611 and 24,291,236

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Solution

The third proportional to 10,271,611 and 24,291,236 is: 57,446,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271,611 : 24,291,236 = 24,291,236 : x
  2. Step 2: Convert to fraction form
    10,271,611/24,291,236 = 24,291,236/x
  3. Step 3: Cross multiply
    10,271,611x = 24,291,236 × 24,291,236
  4. Step 4: Simplify right side
    10,271,611x = 590,064,146,407,696
  5. Step 5: Solve for x
    x = 590,064,146,407,696/10,271,611
  6. Step 6: Final answer
    x = 57,446,114.97

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Why These Related Problems?

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