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Finding the Third Proportional to 613,305,178 and 1,339,010,126.50

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Solution

The third proportional to 613,305,178 and 1,339,010,126.50 is: 2,923,419,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,305,178 : 1,339,010,126.50 = 1,339,010,126.50 : x
  2. Step 2: Convert to fraction form
    613,305,178/1,339,010,126.50 = 1,339,010,126.50/x
  3. Step 3: Cross multiply
    613,305,178x = 1,339,010,126.50 × 1,339,010,126.50
  4. Step 4: Simplify right side
    613,305,178x = 1,792,948,118,869,545,984
  5. Step 5: Solve for x
    x = 1,792,948,118,869,545,984/613,305,178
  6. Step 6: Final answer
    x = 2,923,419,177.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.