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Finding the Third Proportional to 9,452,142 and 20,734,072

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Solution

The third proportional to 9,452,142 and 20,734,072 is: 45,481,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452,142 : 20,734,072 = 20,734,072 : x
  2. Step 2: Convert to fraction form
    9,452,142/20,734,072 = 20,734,072/x
  3. Step 3: Cross multiply
    9,452,142x = 20,734,072 × 20,734,072
  4. Step 4: Simplify right side
    9,452,142x = 429,901,741,701,184
  5. Step 5: Solve for x
    x = 429,901,741,701,184/9,452,142
  6. Step 6: Final answer
    x = 45,481,938.56

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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.