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Finding the Third Proportional to 1,213,600,505 and 2,663,422,336

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Solution

The third proportional to 1,213,600,505 and 2,663,422,336 is: 5,845,266,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,600,505 : 2,663,422,336 = 2,663,422,336 : x
  2. Step 2: Convert to fraction form
    1,213,600,505/2,663,422,336 = 2,663,422,336/x
  3. Step 3: Cross multiply
    1,213,600,505x = 2,663,422,336 × 2,663,422,336
  4. Step 4: Simplify right side
    1,213,600,505x = 7,093,818,539,903,696,896
  5. Step 5: Solve for x
    x = 7,093,818,539,903,696,896/1,213,600,505
  6. Step 6: Final answer
    x = 5,845,266,634.84

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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.