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Finding the Third Proportional to 9,407,148 and 20,607,150

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Solution

The third proportional to 9,407,148 and 20,607,150 is: 45,141,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407,148 : 20,607,150 = 20,607,150 : x
  2. Step 2: Convert to fraction form
    9,407,148/20,607,150 = 20,607,150/x
  3. Step 3: Cross multiply
    9,407,148x = 20,607,150 × 20,607,150
  4. Step 4: Simplify right side
    9,407,148x = 424,654,631,122,500
  5. Step 5: Solve for x
    x = 424,654,631,122,500/9,407,148
  6. Step 6: Final answer
    x = 45,141,697.69

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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.