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Finding the Third Proportional to 6,557,203,503 and 10,072,666,638

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Solution

The third proportional to 6,557,203,503 and 10,072,666,638 is: 15,472,848,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557,203,503 : 10,072,666,638 = 10,072,666,638 : x
  2. Step 2: Convert to fraction form
    6,557,203,503/10,072,666,638 = 10,072,666,638/x
  3. Step 3: Cross multiply
    6,557,203,503x = 10,072,666,638 × 10,072,666,638
  4. Step 4: Simplify right side
    6,557,203,503x = 101,458,613,200,278,224,896
  5. Step 5: Solve for x
    x = 101,458,613,200,278,224,896/6,557,203,503
  6. Step 6: Final answer
    x = 15,472,848,014.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.