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Finding the Third Proportional to 22,122,367,236 and 32,343,674,166

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Solution

The third proportional to 22,122,367,236 and 32,343,674,166 is: 47,287,582,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122,367,236 : 32,343,674,166 = 32,343,674,166 : x
  2. Step 2: Convert to fraction form
    22,122,367,236/32,343,674,166 = 32,343,674,166/x
  3. Step 3: Cross multiply
    22,122,367,236x = 32,343,674,166 × 32,343,674,166
  4. Step 4: Simplify right side
    22,122,367,236x = 1,046,113,258,556,375,826,432
  5. Step 5: Solve for x
    x = 1,046,113,258,556,375,826,432/22,122,367,236
  6. Step 6: Final answer
    x = 47,287,582,174.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.