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Finding the Third Proportional to 382,519,401.75 and 811,007,007.19

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Solution

The third proportional to 382,519,401.75 and 811,007,007.19 is: 1,719,474,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,519,401.75 : 811,007,007.19 = 811,007,007.19 : x
  2. Step 2: Convert to fraction form
    382,519,401.75/811,007,007.19 = 811,007,007.19/x
  3. Step 3: Cross multiply
    382,519,401.75x = 811,007,007.19 × 811,007,007.19
  4. Step 4: Simplify right side
    382,519,401.75x = 657,732,365,707,225,728
  5. Step 5: Solve for x
    x = 657,732,365,707,225,728/382,519,401.75
  6. Step 6: Final answer
    x = 1,719,474,522.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.