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Finding the Third Proportional to 10,199,961 and 22,194,342

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Solution

The third proportional to 10,199,961 and 22,194,342 is: 48,293,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199,961 : 22,194,342 = 22,194,342 : x
  2. Step 2: Convert to fraction form
    10,199,961/22,194,342 = 22,194,342/x
  3. Step 3: Cross multiply
    10,199,961x = 22,194,342 × 22,194,342
  4. Step 4: Simplify right side
    10,199,961x = 492,588,816,812,964
  5. Step 5: Solve for x
    x = 492,588,816,812,964/10,199,961
  6. Step 6: Final answer
    x = 48,293,205.91

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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.