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Finding the Third Proportional to 9,831,915 and 20,054,196

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Solution

The third proportional to 9,831,915 and 20,054,196 is: 40,904,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831,915 : 20,054,196 = 20,054,196 : x
  2. Step 2: Convert to fraction form
    9,831,915/20,054,196 = 20,054,196/x
  3. Step 3: Cross multiply
    9,831,915x = 20,054,196 × 20,054,196
  4. Step 4: Simplify right side
    9,831,915x = 402,170,777,206,416
  5. Step 5: Solve for x
    x = 402,170,777,206,416/9,831,915
  6. Step 6: Final answer
    x = 40,904,623.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.