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Finding the Third Proportional to 21,477,638,630 and 43,567,685,500

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Solution

The third proportional to 21,477,638,630 and 43,567,685,500 is: 88,377,649,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477,638,630 : 43,567,685,500 = 43,567,685,500 : x
  2. Step 2: Convert to fraction form
    21,477,638,630/43,567,685,500 = 43,567,685,500/x
  3. Step 3: Cross multiply
    21,477,638,630x = 43,567,685,500 × 43,567,685,500
  4. Step 4: Simplify right side
    21,477,638,630x = 1,898,143,219,826,910,298,112
  5. Step 5: Solve for x
    x = 1,898,143,219,826,910,298,112/21,477,638,630
  6. Step 6: Final answer
    x = 88,377,649,541.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.