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Finding the Third Proportional to 18,968,097,409,328 and 25,592,416,670,456

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Solution

The third proportional to 18,968,097,409,328 and 25,592,416,670,456 is: 34,530,178,588,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,968,097,409,328 : 25,592,416,670,456 = 25,592,416,670,456 : x
  2. Step 2: Convert to fraction form
    18,968,097,409,328/25,592,416,670,456 = 25,592,416,670,456/x
  3. Step 3: Cross multiply
    18,968,097,409,328x = 25,592,416,670,456 × 25,592,416,670,456
  4. Step 4: Simplify right side
    18,968,097,409,328x = 654,971,791,034,234,192,500,097,024
  5. Step 5: Solve for x
    x = 654,971,791,034,234,192,500,097,024/18,968,097,409,328
  6. Step 6: Final answer
    x = 34,530,178,588,820.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.