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Finding the Third Proportional to 319,899,805,010 and 666,277,528,800

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Solution

The third proportional to 319,899,805,010 and 666,277,528,800 is: 1,387,702,456,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,899,805,010 : 666,277,528,800 = 666,277,528,800 : x
  2. Step 2: Convert to fraction form
    319,899,805,010/666,277,528,800 = 666,277,528,800/x
  3. Step 3: Cross multiply
    319,899,805,010x = 666,277,528,800 × 666,277,528,800
  4. Step 4: Simplify right side
    319,899,805,010x = 443,925,745,383,834,837,319,680
  5. Step 5: Solve for x
    x = 443,925,745,383,834,837,319,680/319,899,805,010
  6. Step 6: Final answer
    x = 1,387,702,456,930.09

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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.