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Finding the Third Proportional to 337,701,304,402.88 and 514,464,577,912.12

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Solution

The third proportional to 337,701,304,402.88 and 514,464,577,912.12 is: 783,751,198,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,701,304,402.88 : 514,464,577,912.12 = 514,464,577,912.12 : x
  2. Step 2: Convert to fraction form
    337,701,304,402.88/514,464,577,912.12 = 514,464,577,912.12/x
  3. Step 3: Cross multiply
    337,701,304,402.88x = 514,464,577,912.12 × 514,464,577,912.12
  4. Step 4: Simplify right side
    337,701,304,402.88x = 264,673,801,926,295,798,415,360
  5. Step 5: Solve for x
    x = 264,673,801,926,295,798,415,360/337,701,304,402.88
  6. Step 6: Final answer
    x = 783,751,198,101.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.