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Finding the Third Proportional to 483,232,176 and 1,047,085,920

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Solution

The third proportional to 483,232,176 and 1,047,085,920 is: 2,268,865,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,232,176 : 1,047,085,920 = 1,047,085,920 : x
  2. Step 2: Convert to fraction form
    483,232,176/1,047,085,920 = 1,047,085,920/x
  3. Step 3: Cross multiply
    483,232,176x = 1,047,085,920 × 1,047,085,920
  4. Step 4: Simplify right side
    483,232,176x = 1,096,388,923,862,246,400
  5. Step 5: Solve for x
    x = 1,096,388,923,862,246,400/483,232,176
  6. Step 6: Final answer
    x = 2,268,865,730.21

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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.