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Finding the Third Proportional to 2,220,019,656 and 4,936,400,652

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Solution

The third proportional to 2,220,019,656 and 4,936,400,652 is: 10,976,502,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,019,656 : 4,936,400,652 = 4,936,400,652 : x
  2. Step 2: Convert to fraction form
    2,220,019,656/4,936,400,652 = 4,936,400,652/x
  3. Step 3: Cross multiply
    2,220,019,656x = 4,936,400,652 × 4,936,400,652
  4. Step 4: Simplify right side
    2,220,019,656x = 24,368,051,397,066,027,008
  5. Step 5: Solve for x
    x = 24,368,051,397,066,027,008/2,220,019,656
  6. Step 6: Final answer
    x = 10,976,502,541.86

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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.