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Finding the Third Proportional to 10,543,500 and 23,020,308

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Solution

The third proportional to 10,543,500 and 23,020,308 is: 50,261,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543,500 : 23,020,308 = 23,020,308 : x
  2. Step 2: Convert to fraction form
    10,543,500/23,020,308 = 23,020,308/x
  3. Step 3: Cross multiply
    10,543,500x = 23,020,308 × 23,020,308
  4. Step 4: Simplify right side
    10,543,500x = 529,934,580,414,864
  5. Step 5: Solve for x
    x = 529,934,580,414,864/10,543,500
  6. Step 6: Final answer
    x = 50,261,732.86

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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.