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Finding the Third Proportional to 471,172,464 and 1,035,812,114

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Solution

The third proportional to 471,172,464 and 1,035,812,114 is: 2,277,099,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,172,464 : 1,035,812,114 = 1,035,812,114 : x
  2. Step 2: Convert to fraction form
    471,172,464/1,035,812,114 = 1,035,812,114/x
  3. Step 3: Cross multiply
    471,172,464x = 1,035,812,114 × 1,035,812,114
  4. Step 4: Simplify right side
    471,172,464x = 1,072,906,735,509,149,056
  5. Step 5: Solve for x
    x = 1,072,906,735,509,149,056/471,172,464
  6. Step 6: Final answer
    x = 2,277,099,825.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.