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Finding the Third Proportional to 524,797,954,998.75 and 783,757,977,650.40

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Solution

The third proportional to 524,797,954,998.75 and 783,757,977,650.40 is: 1,170,501,069,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,797,954,998.75 : 783,757,977,650.40 = 783,757,977,650.40 : x
  2. Step 2: Convert to fraction form
    524,797,954,998.75/783,757,977,650.40 = 783,757,977,650.40/x
  3. Step 3: Cross multiply
    524,797,954,998.75x = 783,757,977,650.40 × 783,757,977,650.40
  4. Step 4: Simplify right side
    524,797,954,998.75x = 614,276,567,530,644,967,522,304
  5. Step 5: Solve for x
    x = 614,276,567,530,644,967,522,304/524,797,954,998.75
  6. Step 6: Final answer
    x = 1,170,501,069,372.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.