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Finding the Third Proportional to 11,620,489,072.50 and 24,856,558,785

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Solution

The third proportional to 11,620,489,072.50 and 24,856,558,785 is: 53,168,890,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620,489,072.50 : 24,856,558,785 = 24,856,558,785 : x
  2. Step 2: Convert to fraction form
    11,620,489,072.50/24,856,558,785 = 24,856,558,785/x
  3. Step 3: Cross multiply
    11,620,489,072.50x = 24,856,558,785 × 24,856,558,785
  4. Step 4: Simplify right side
    11,620,489,072.50x = 617,848,514,632,160,641,024
  5. Step 5: Solve for x
    x = 617,848,514,632,160,641,024/11,620,489,072.50
  6. Step 6: Final answer
    x = 53,168,890,808.07

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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.