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Finding the Third Proportional to 474,680,224 and 985,739,968

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Solution

The third proportional to 474,680,224 and 985,739,968 is: 2,047,027,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,680,224 : 985,739,968 = 985,739,968 : x
  2. Step 2: Convert to fraction form
    474,680,224/985,739,968 = 985,739,968/x
  3. Step 3: Cross multiply
    474,680,224x = 985,739,968 × 985,739,968
  4. Step 4: Simplify right side
    474,680,224x = 971,683,284,512,641,024
  5. Step 5: Solve for x
    x = 971,683,284,512,641,024/474,680,224
  6. Step 6: Final answer
    x = 2,047,027,104.53

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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.