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Finding the Third Proportional to 9,738,242 and 20,827,321

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Solution

The third proportional to 9,738,242 and 20,827,321 is: 44,543,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738,242 : 20,827,321 = 20,827,321 : x
  2. Step 2: Convert to fraction form
    9,738,242/20,827,321 = 20,827,321/x
  3. Step 3: Cross multiply
    9,738,242x = 20,827,321 × 20,827,321
  4. Step 4: Simplify right side
    9,738,242x = 433,777,300,037,041
  5. Step 5: Solve for x
    x = 433,777,300,037,041/9,738,242
  6. Step 6: Final answer
    x = 44,543,696.91

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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.