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Finding the Third Proportional to 1,026,504,028 and 2,107,425,627

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Solution

The third proportional to 1,026,504,028 and 2,107,425,627 is: 4,326,571,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,504,028 : 2,107,425,627 = 2,107,425,627 : x
  2. Step 2: Convert to fraction form
    1,026,504,028/2,107,425,627 = 2,107,425,627/x
  3. Step 3: Cross multiply
    1,026,504,028x = 2,107,425,627 × 2,107,425,627
  4. Step 4: Simplify right side
    1,026,504,028x = 4,441,242,773,336,343,040
  5. Step 5: Solve for x
    x = 4,441,242,773,336,343,040/1,026,504,028
  6. Step 6: Final answer
    x = 4,326,571,208.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.