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Finding the Third Proportional to 691,580,067 and 1,062,351,574.50

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Solution

The third proportional to 691,580,067 and 1,062,351,574.50 is: 1,631,901,961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,580,067 : 1,062,351,574.50 = 1,062,351,574.50 : x
  2. Step 2: Convert to fraction form
    691,580,067/1,062,351,574.50 = 1,062,351,574.50/x
  3. Step 3: Cross multiply
    691,580,067x = 1,062,351,574.50 × 1,062,351,574.50
  4. Step 4: Simplify right side
    691,580,067x = 1,128,590,867,842,628,992
  5. Step 5: Solve for x
    x = 1,128,590,867,842,628,992/691,580,067
  6. Step 6: Final answer
    x = 1,631,901,961.46

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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.