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Finding the Third Proportional to 10,097,178 and 21,734,006

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Solution

The third proportional to 10,097,178 and 21,734,006 is: 46,782,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,178 : 21,734,006 = 21,734,006 : x
  2. Step 2: Convert to fraction form
    10,097,178/21,734,006 = 21,734,006/x
  3. Step 3: Cross multiply
    10,097,178x = 21,734,006 × 21,734,006
  4. Step 4: Simplify right side
    10,097,178x = 472,367,016,808,036
  5. Step 5: Solve for x
    x = 472,367,016,808,036/10,097,178
  6. Step 6: Final answer
    x = 46,782,082.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.