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Finding the Third Proportional to 2,069,489,453,656 and 4,529,108,947,064

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Solution

The third proportional to 2,069,489,453,656 and 4,529,108,947,064 is: 9,912,023,382,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,489,453,656 : 4,529,108,947,064 = 4,529,108,947,064 : x
  2. Step 2: Convert to fraction form
    2,069,489,453,656/4,529,108,947,064 = 4,529,108,947,064/x
  3. Step 3: Cross multiply
    2,069,489,453,656x = 4,529,108,947,064 × 4,529,108,947,064
  4. Step 4: Simplify right side
    2,069,489,453,656x = 20,512,827,854,375,172,872,077,312
  5. Step 5: Solve for x
    x = 20,512,827,854,375,172,872,077,312/2,069,489,453,656
  6. Step 6: Final answer
    x = 9,912,023,382,451.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.