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Finding the Third Proportional to 369,085,888 and 519,094,608

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Solution

The third proportional to 369,085,888 and 519,094,608 is: 730,071,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,085,888 : 519,094,608 = 519,094,608 : x
  2. Step 2: Convert to fraction form
    369,085,888/519,094,608 = 519,094,608/x
  3. Step 3: Cross multiply
    369,085,888x = 519,094,608 × 519,094,608
  4. Step 4: Simplify right side
    369,085,888x = 269,459,212,054,673,664
  5. Step 5: Solve for x
    x = 269,459,212,054,673,664/369,085,888
  6. Step 6: Final answer
    x = 730,071,836.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.