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Finding the Third Proportional to 459,432,230 and 1,008,131,968

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Solution

The third proportional to 459,432,230 and 1,008,131,968 is: 2,212,143,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,432,230 : 1,008,131,968 = 1,008,131,968 : x
  2. Step 2: Convert to fraction form
    459,432,230/1,008,131,968 = 1,008,131,968/x
  3. Step 3: Cross multiply
    459,432,230x = 1,008,131,968 × 1,008,131,968
  4. Step 4: Simplify right side
    459,432,230x = 1,016,330,064,903,553,024
  5. Step 5: Solve for x
    x = 1,016,330,064,903,553,024/459,432,230
  6. Step 6: Final answer
    x = 2,212,143,594.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.