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Finding the Third Proportional to 2,198,326,248 and 4,741,016,544

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Solution

The third proportional to 2,198,326,248 and 4,741,016,544 is: 10,224,705,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,326,248 : 4,741,016,544 = 4,741,016,544 : x
  2. Step 2: Convert to fraction form
    2,198,326,248/4,741,016,544 = 4,741,016,544/x
  3. Step 3: Cross multiply
    2,198,326,248x = 4,741,016,544 × 4,741,016,544
  4. Step 4: Simplify right side
    2,198,326,248x = 22,477,237,870,481,702,912
  5. Step 5: Solve for x
    x = 22,477,237,870,481,702,912/2,198,326,248
  6. Step 6: Final answer
    x = 10,224,705,223.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.