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Finding the Third Proportional to 411,062,570 and 959,179,119

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Solution

The third proportional to 411,062,570 and 959,179,119 is: 2,238,161,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,062,570 : 959,179,119 = 959,179,119 : x
  2. Step 2: Convert to fraction form
    411,062,570/959,179,119 = 959,179,119/x
  3. Step 3: Cross multiply
    411,062,570x = 959,179,119 × 959,179,119
  4. Step 4: Simplify right side
    411,062,570x = 920,024,582,325,616,128
  5. Step 5: Solve for x
    x = 920,024,582,325,616,128/411,062,570
  6. Step 6: Final answer
    x = 2,238,161,899.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.