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Finding the Third Proportional to 2,961,640,220,427 and 6,006,555,019,723.50

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Solution

The third proportional to 2,961,640,220,427 and 6,006,555,019,723.50 is: 12,182,000,688,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,640,220,427 : 6,006,555,019,723.50 = 6,006,555,019,723.50 : x
  2. Step 2: Convert to fraction form
    2,961,640,220,427/6,006,555,019,723.50 = 6,006,555,019,723.50/x
  3. Step 3: Cross multiply
    2,961,640,220,427x = 6,006,555,019,723.50 × 6,006,555,019,723.50
  4. Step 4: Simplify right side
    2,961,640,220,427x = 36,078,703,204,965,575,445,970,944
  5. Step 5: Solve for x
    x = 36,078,703,204,965,575,445,970,944/2,961,640,220,427
  6. Step 6: Final answer
    x = 12,182,000,688,714.26

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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.