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Finding the Third Proportional to 10,543,696 and 23,021,028

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Solution

The third proportional to 10,543,696 and 23,021,028 is: 50,263,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543,696 : 23,021,028 = 23,021,028 : x
  2. Step 2: Convert to fraction form
    10,543,696/23,021,028 = 23,021,028/x
  3. Step 3: Cross multiply
    10,543,696x = 23,021,028 × 23,021,028
  4. Step 4: Simplify right side
    10,543,696x = 529,967,730,176,784
  5. Step 5: Solve for x
    x = 529,967,730,176,784/10,543,696
  6. Step 6: Final answer
    x = 50,263,942.57

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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.