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Finding the Third Proportional to 456,299,082 and 985,336,812

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Solution

The third proportional to 456,299,082 and 985,336,812 is: 2,127,746,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,299,082 : 985,336,812 = 985,336,812 : x
  2. Step 2: Convert to fraction form
    456,299,082/985,336,812 = 985,336,812/x
  3. Step 3: Cross multiply
    456,299,082x = 985,336,812 × 985,336,812
  4. Step 4: Simplify right side
    456,299,082x = 970,888,633,082,323,328
  5. Step 5: Solve for x
    x = 970,888,633,082,323,328/456,299,082
  6. Step 6: Final answer
    x = 2,127,746,189.69

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