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Finding the Third Proportional to 2,152,248,674 and 4,476,268,702

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Solution

The third proportional to 2,152,248,674 and 4,476,268,702 is: 9,309,789,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,248,674 : 4,476,268,702 = 4,476,268,702 : x
  2. Step 2: Convert to fraction form
    2,152,248,674/4,476,268,702 = 4,476,268,702/x
  3. Step 3: Cross multiply
    2,152,248,674x = 4,476,268,702 × 4,476,268,702
  4. Step 4: Simplify right side
    2,152,248,674x = 20,036,981,492,504,764,416
  5. Step 5: Solve for x
    x = 20,036,981,492,504,764,416/2,152,248,674
  6. Step 6: Final answer
    x = 9,309,789,214.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.