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Finding the Third Proportional to 10,072,148 and 21,580,150

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Solution

The third proportional to 10,072,148 and 21,580,150 is: 46,236,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072,148 : 21,580,150 = 21,580,150 : x
  2. Step 2: Convert to fraction form
    10,072,148/21,580,150 = 21,580,150/x
  3. Step 3: Cross multiply
    10,072,148x = 21,580,150 × 21,580,150
  4. Step 4: Simplify right side
    10,072,148x = 465,702,874,022,500
  5. Step 5: Solve for x
    x = 465,702,874,022,500/10,072,148
  6. Step 6: Final answer
    x = 46,236,698.87

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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.