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Finding the Third Proportional to 10,632,346 and 23,188,968

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Solution

The third proportional to 10,632,346 and 23,188,968 is: 50,574,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632,346 : 23,188,968 = 23,188,968 : x
  2. Step 2: Convert to fraction form
    10,632,346/23,188,968 = 23,188,968/x
  3. Step 3: Cross multiply
    10,632,346x = 23,188,968 × 23,188,968
  4. Step 4: Simplify right side
    10,632,346x = 537,728,236,905,024
  5. Step 5: Solve for x
    x = 537,728,236,905,024/10,632,346
  6. Step 6: Final answer
    x = 50,574,749.63

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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.