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Finding the Third Proportional to 1,046,969,472 and 2,268,424,416

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Solution

The third proportional to 1,046,969,472 and 2,268,424,416 is: 4,914,899,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,969,472 : 2,268,424,416 = 2,268,424,416 : x
  2. Step 2: Convert to fraction form
    1,046,969,472/2,268,424,416 = 2,268,424,416/x
  3. Step 3: Cross multiply
    1,046,969,472x = 2,268,424,416 × 2,268,424,416
  4. Step 4: Simplify right side
    1,046,969,472x = 5,145,749,331,104,941,056
  5. Step 5: Solve for x
    x = 5,145,749,331,104,941,056/1,046,969,472
  6. Step 6: Final answer
    x = 4,914,899,114.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.