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Finding the Third Proportional to 3,268,598,666 and 4,586,490,981

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Solution

The third proportional to 3,268,598,666 and 4,586,490,981 is: 6,435,754,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268,598,666 : 4,586,490,981 = 4,586,490,981 : x
  2. Step 2: Convert to fraction form
    3,268,598,666/4,586,490,981 = 4,586,490,981/x
  3. Step 3: Cross multiply
    3,268,598,666x = 4,586,490,981 × 4,586,490,981
  4. Step 4: Simplify right side
    3,268,598,666x = 21,035,899,518,794,342,400
  5. Step 5: Solve for x
    x = 21,035,899,518,794,342,400/3,268,598,666
  6. Step 6: Final answer
    x = 6,435,754,789.23

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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.