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Finding the Third Proportional to 319,195,962 and 687,632,148

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Solution

The third proportional to 319,195,962 and 687,632,148 is: 1,481,340,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,195,962 : 687,632,148 = 687,632,148 : x
  2. Step 2: Convert to fraction form
    319,195,962/687,632,148 = 687,632,148/x
  3. Step 3: Cross multiply
    319,195,962x = 687,632,148 × 687,632,148
  4. Step 4: Simplify right side
    319,195,962x = 472,837,970,963,093,888
  5. Step 5: Solve for x
    x = 472,837,970,963,093,888/319,195,962
  6. Step 6: Final answer
    x = 1,481,340,703.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.