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Finding the Third Proportional to 11,620,489,075 and 24,856,558,789

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Solution

The third proportional to 11,620,489,075 and 24,856,558,789 is: 53,168,890,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620,489,075 : 24,856,558,789 = 24,856,558,789 : x
  2. Step 2: Convert to fraction form
    11,620,489,075/24,856,558,789 = 24,856,558,789/x
  3. Step 3: Cross multiply
    11,620,489,075x = 24,856,558,789 × 24,856,558,789
  4. Step 4: Simplify right side
    11,620,489,075x = 617,848,514,831,013,117,952
  5. Step 5: Solve for x
    x = 617,848,514,831,013,117,952/11,620,489,075
  6. Step 6: Final answer
    x = 53,168,890,813.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.