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Finding the Third Proportional to 10,968,224 and 23,766,964

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Solution

The third proportional to 10,968,224 and 23,766,964 is: 51,500,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968,224 : 23,766,964 = 23,766,964 : x
  2. Step 2: Convert to fraction form
    10,968,224/23,766,964 = 23,766,964/x
  3. Step 3: Cross multiply
    10,968,224x = 23,766,964 × 23,766,964
  4. Step 4: Simplify right side
    10,968,224x = 564,868,577,777,296
  5. Step 5: Solve for x
    x = 564,868,577,777,296/10,968,224
  6. Step 6: Final answer
    x = 51,500,459.67

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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.