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Finding the Third Proportional to 1,008,664,842 and 1,582,154,133

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Solution

The third proportional to 1,008,664,842 and 1,582,154,133 is: 2,481,708,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,664,842 : 1,582,154,133 = 1,582,154,133 : x
  2. Step 2: Convert to fraction form
    1,008,664,842/1,582,154,133 = 1,582,154,133/x
  3. Step 3: Cross multiply
    1,008,664,842x = 1,582,154,133 × 1,582,154,133
  4. Step 4: Simplify right side
    1,008,664,842x = 2,503,211,700,568,981,504
  5. Step 5: Solve for x
    x = 2,503,211,700,568,981,504/1,008,664,842
  6. Step 6: Final answer
    x = 2,481,708,092.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.