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Finding the Third Proportional to 2,450,955,296,838 and 5,363,618,961,501

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Solution

The third proportional to 2,450,955,296,838 and 5,363,618,961,501 is: 11,737,630,792,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450,955,296,838 : 5,363,618,961,501 = 5,363,618,961,501 : x
  2. Step 2: Convert to fraction form
    2,450,955,296,838/5,363,618,961,501 = 5,363,618,961,501/x
  3. Step 3: Cross multiply
    2,450,955,296,838x = 5,363,618,961,501 × 5,363,618,961,501
  4. Step 4: Simplify right side
    2,450,955,296,838x = 28,768,408,364,173,067,626,217,472
  5. Step 5: Solve for x
    x = 28,768,408,364,173,067,626,217,472/2,450,955,296,838
  6. Step 6: Final answer
    x = 11,737,630,792,894.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.