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Finding the Third Proportional to 2,372,593,346,006 and 5,149,653,682,648

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Solution

The third proportional to 2,372,593,346,006 and 5,149,653,682,648 is: 11,177,192,710,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372,593,346,006 : 5,149,653,682,648 = 5,149,653,682,648 : x
  2. Step 2: Convert to fraction form
    2,372,593,346,006/5,149,653,682,648 = 5,149,653,682,648/x
  3. Step 3: Cross multiply
    2,372,593,346,006x = 5,149,653,682,648 × 5,149,653,682,648
  4. Step 4: Simplify right side
    2,372,593,346,006x = 26,518,933,051,210,106,767,671,296
  5. Step 5: Solve for x
    x = 26,518,933,051,210,106,767,671,296/2,372,593,346,006
  6. Step 6: Final answer
    x = 11,177,192,710,184.33

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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.