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Finding the Third Proportional to 547,374,102 and 1,133,552,422

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Solution

The third proportional to 547,374,102 and 1,133,552,422 is: 2,347,464,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,374,102 : 1,133,552,422 = 1,133,552,422 : x
  2. Step 2: Convert to fraction form
    547,374,102/1,133,552,422 = 1,133,552,422/x
  3. Step 3: Cross multiply
    547,374,102x = 1,133,552,422 × 1,133,552,422
  4. Step 4: Simplify right side
    547,374,102x = 1,284,941,093,422,066,176
  5. Step 5: Solve for x
    x = 1,284,941,093,422,066,176/547,374,102
  6. Step 6: Final answer
    x = 2,347,464,172.54

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.