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Finding the Third Proportional to 10,648,827 and 23,323,794.75

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Solution

The third proportional to 10,648,827 and 23,323,794.75 is: 51,085,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648,827 : 23,323,794.75 = 23,323,794.75 : x
  2. Step 2: Convert to fraction form
    10,648,827/23,323,794.75 = 23,323,794.75/x
  3. Step 3: Cross multiply
    10,648,827x = 23,323,794.75 × 23,323,794.75
  4. Step 4: Simplify right side
    10,648,827x = 543,999,401,540,127.56
  5. Step 5: Solve for x
    x = 543,999,401,540,127.56/10,648,827
  6. Step 6: Final answer
    x = 51,085,382.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.