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Finding the Third Proportional to 3,268,598,668 and 4,586,490,984

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Solution

The third proportional to 3,268,598,668 and 4,586,490,984 is: 6,435,754,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268,598,668 : 4,586,490,984 = 4,586,490,984 : x
  2. Step 2: Convert to fraction form
    3,268,598,668/4,586,490,984 = 4,586,490,984/x
  3. Step 3: Cross multiply
    3,268,598,668x = 4,586,490,984 × 4,586,490,984
  4. Step 4: Simplify right side
    3,268,598,668x = 21,035,899,546,313,289,728
  5. Step 5: Solve for x
    x = 21,035,899,546,313,289,728/3,268,598,668
  6. Step 6: Final answer
    x = 6,435,754,793.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.