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Finding the Third Proportional to 926,104,915,764 and 2,006,064,126,792

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Solution

The third proportional to 926,104,915,764 and 2,006,064,126,792 is: 4,345,396,738,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,104,915,764 : 2,006,064,126,792 = 2,006,064,126,792 : x
  2. Step 2: Convert to fraction form
    926,104,915,764/2,006,064,126,792 = 2,006,064,126,792/x
  3. Step 3: Cross multiply
    926,104,915,764x = 2,006,064,126,792 × 2,006,064,126,792
  4. Step 4: Simplify right side
    926,104,915,764x = 4,024,293,280,801,749,303,558,144
  5. Step 5: Solve for x
    x = 4,024,293,280,801,749,303,558,144/926,104,915,764
  6. Step 6: Final answer
    x = 4,345,396,738,858.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.