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Finding the Third Proportional to 8,348,139,720 and 18,196,280,856

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Solution

The third proportional to 8,348,139,720 and 18,196,280,856 is: 39,662,086,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348,139,720 : 18,196,280,856 = 18,196,280,856 : x
  2. Step 2: Convert to fraction form
    8,348,139,720/18,196,280,856 = 18,196,280,856/x
  3. Step 3: Cross multiply
    8,348,139,720x = 18,196,280,856 × 18,196,280,856
  4. Step 4: Simplify right side
    8,348,139,720x = 331,104,636,990,432,083,968
  5. Step 5: Solve for x
    x = 331,104,636,990,432,083,968/8,348,139,720
  6. Step 6: Final answer
    x = 39,662,086,176.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.