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Finding the Third Proportional to 319,899,805,380 and 666,277,529,526

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Solution

The third proportional to 319,899,805,380 and 666,277,529,526 is: 1,387,702,458,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,899,805,380 : 666,277,529,526 = 666,277,529,526 : x
  2. Step 2: Convert to fraction form
    319,899,805,380/666,277,529,526 = 666,277,529,526/x
  3. Step 3: Cross multiply
    319,899,805,380x = 666,277,529,526 × 666,277,529,526
  4. Step 4: Simplify right side
    319,899,805,380x = 443,925,746,351,269,778,292,736
  5. Step 5: Solve for x
    x = 443,925,746,351,269,778,292,736/319,899,805,380
  6. Step 6: Final answer
    x = 1,387,702,458,349.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.