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Finding the Third Proportional to 10,789,500 and 23,114,153

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Solution

The third proportional to 10,789,500 and 23,114,153 is: 49,517,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789,500 : 23,114,153 = 23,114,153 : x
  2. Step 2: Convert to fraction form
    10,789,500/23,114,153 = 23,114,153/x
  3. Step 3: Cross multiply
    10,789,500x = 23,114,153 × 23,114,153
  4. Step 4: Simplify right side
    10,789,500x = 534,264,068,907,409
  5. Step 5: Solve for x
    x = 534,264,068,907,409/10,789,500
  6. Step 6: Final answer
    x = 49,517,036.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.