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Finding the Third Proportional to 11,443,964 and 24,856,224

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Solution

The third proportional to 11,443,964 and 24,856,224 is: 53,987,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443,964 : 24,856,224 = 24,856,224 : x
  2. Step 2: Convert to fraction form
    11,443,964/24,856,224 = 24,856,224/x
  3. Step 3: Cross multiply
    11,443,964x = 24,856,224 × 24,856,224
  4. Step 4: Simplify right side
    11,443,964x = 617,831,871,538,176
  5. Step 5: Solve for x
    x = 617,831,871,538,176/11,443,964
  6. Step 6: Final answer
    x = 53,987,575.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.