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Finding the Third Proportional to 18,556,679,680,860 and 37,642,480,090,440

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Solution

The third proportional to 18,556,679,680,860 and 37,642,480,090,440 is: 76,358,288,860,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,556,679,680,860 : 37,642,480,090,440 = 37,642,480,090,440 : x
  2. Step 2: Convert to fraction form
    18,556,679,680,860/37,642,480,090,440 = 37,642,480,090,440/x
  3. Step 3: Cross multiply
    18,556,679,680,860x = 37,642,480,090,440 × 37,642,480,090,440
  4. Step 4: Simplify right side
    18,556,679,680,860x = 1,416,956,307,359,171,692,579,520,512
  5. Step 5: Solve for x
    x = 1,416,956,307,359,171,692,579,520,512/18,556,679,680,860
  6. Step 6: Final answer
    x = 76,358,288,860,300.22

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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.