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Finding the Third Proportional to 4,734,164 and 10,354,036

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Solution

The third proportional to 4,734,164 and 10,354,036 is: 22,645,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734,164 : 10,354,036 = 10,354,036 : x
  2. Step 2: Convert to fraction form
    4,734,164/10,354,036 = 10,354,036/x
  3. Step 3: Cross multiply
    4,734,164x = 10,354,036 × 10,354,036
  4. Step 4: Simplify right side
    4,734,164x = 107,206,061,489,296
  5. Step 5: Solve for x
    x = 107,206,061,489,296/4,734,164
  6. Step 6: Final answer
    x = 22,645,193.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.