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Finding the Third Proportional to 639,551,024,656 and 1,422,096,530,219

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Solution

The third proportional to 639,551,024,656 and 1,422,096,530,219 is: 3,162,153,547,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,551,024,656 : 1,422,096,530,219 = 1,422,096,530,219 : x
  2. Step 2: Convert to fraction form
    639,551,024,656/1,422,096,530,219 = 1,422,096,530,219/x
  3. Step 3: Cross multiply
    639,551,024,656x = 1,422,096,530,219 × 1,422,096,530,219
  4. Step 4: Simplify right side
    639,551,024,656x = 2,022,358,541,260,919,245,111,296
  5. Step 5: Solve for x
    x = 2,022,358,541,260,919,245,111,296/639,551,024,656
  6. Step 6: Final answer
    x = 3,162,153,547,246.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.