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Finding the Third Proportional to 5,096,200 and 10,782,678

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Solution

The third proportional to 5,096,200 and 10,782,678 is: 22,814,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096,200 : 10,782,678 = 10,782,678 : x
  2. Step 2: Convert to fraction form
    5,096,200/10,782,678 = 10,782,678/x
  3. Step 3: Cross multiply
    5,096,200x = 10,782,678 × 10,782,678
  4. Step 4: Simplify right side
    5,096,200x = 116,266,144,851,684
  5. Step 5: Solve for x
    x = 116,266,144,851,684/5,096,200
  6. Step 6: Final answer
    x = 22,814,282.18

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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.