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Finding the Third Proportional to 455,642,284 and 994,082,378

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Solution

The third proportional to 455,642,284 and 994,082,378 is: 2,168,806,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,642,284 : 994,082,378 = 994,082,378 : x
  2. Step 2: Convert to fraction form
    455,642,284/994,082,378 = 994,082,378/x
  3. Step 3: Cross multiply
    455,642,284x = 994,082,378 × 994,082,378
  4. Step 4: Simplify right side
    455,642,284x = 988,199,774,250,134,912
  5. Step 5: Solve for x
    x = 988,199,774,250,134,912/455,642,284
  6. Step 6: Final answer
    x = 2,168,806,120.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.