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Finding the Third Proportional to 2,975,858 and 6,483,148

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Solution

The third proportional to 2,975,858 and 6,483,148 is: 14,124,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975,858 : 6,483,148 = 6,483,148 : x
  2. Step 2: Convert to fraction form
    2,975,858/6,483,148 = 6,483,148/x
  3. Step 3: Cross multiply
    2,975,858x = 6,483,148 × 6,483,148
  4. Step 4: Simplify right side
    2,975,858x = 42,031,207,989,904
  5. Step 5: Solve for x
    x = 42,031,207,989,904/2,975,858
  6. Step 6: Final answer
    x = 14,124,063.71

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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.