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Finding the Third Proportional to 10,529,379 and 22,996,519.50

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Solution

The third proportional to 10,529,379 and 22,996,519.50 is: 50,225,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529,379 : 22,996,519.50 = 22,996,519.50 : x
  2. Step 2: Convert to fraction form
    10,529,379/22,996,519.50 = 22,996,519.50/x
  3. Step 3: Cross multiply
    10,529,379x = 22,996,519.50 × 22,996,519.50
  4. Step 4: Simplify right side
    10,529,379x = 528,839,909,113,880.25
  5. Step 5: Solve for x
    x = 528,839,909,113,880.25/10,529,379
  6. Step 6: Final answer
    x = 50,225,175.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.