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Finding the Third Proportional to 314,225,622 and 682,841,113.50

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Solution

The third proportional to 314,225,622 and 682,841,113.50 is: 1,483,876,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,225,622 : 682,841,113.50 = 682,841,113.50 : x
  2. Step 2: Convert to fraction form
    314,225,622/682,841,113.50 = 682,841,113.50/x
  3. Step 3: Cross multiply
    314,225,622x = 682,841,113.50 × 682,841,113.50
  4. Step 4: Simplify right side
    314,225,622x = 466,271,986,285,919,872
  5. Step 5: Solve for x
    x = 466,271,986,285,919,872/314,225,622
  6. Step 6: Final answer
    x = 1,483,876,404.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.