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Finding the Third Proportional to 10,683,414 and 22,638,096

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Solution

The third proportional to 10,683,414 and 22,638,096 is: 47,970,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683,414 : 22,638,096 = 22,638,096 : x
  2. Step 2: Convert to fraction form
    10,683,414/22,638,096 = 22,638,096/x
  3. Step 3: Cross multiply
    10,683,414x = 22,638,096 × 22,638,096
  4. Step 4: Simplify right side
    10,683,414x = 512,483,390,505,216
  5. Step 5: Solve for x
    x = 512,483,390,505,216/10,683,414
  6. Step 6: Final answer
    x = 47,970,001.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.