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Finding the Third Proportional to 10,595,968 and 22,151,296

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Solution

The third proportional to 10,595,968 and 22,151,296 is: 46,308,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595,968 : 22,151,296 = 22,151,296 : x
  2. Step 2: Convert to fraction form
    10,595,968/22,151,296 = 22,151,296/x
  3. Step 3: Cross multiply
    10,595,968x = 22,151,296 × 22,151,296
  4. Step 4: Simplify right side
    10,595,968x = 490,679,914,479,616
  5. Step 5: Solve for x
    x = 490,679,914,479,616/10,595,968
  6. Step 6: Final answer
    x = 46,308,172.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.