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Finding the Third Proportional to 553,660,202.25 and 1,306,967,103.75

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Solution

The third proportional to 553,660,202.25 and 1,306,967,103.75 is: 3,085,219,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,660,202.25 : 1,306,967,103.75 = 1,306,967,103.75 : x
  2. Step 2: Convert to fraction form
    553,660,202.25/1,306,967,103.75 = 1,306,967,103.75/x
  3. Step 3: Cross multiply
    553,660,202.25x = 1,306,967,103.75 × 1,306,967,103.75
  4. Step 4: Simplify right side
    553,660,202.25x = 1,708,163,010,284,663,296
  5. Step 5: Solve for x
    x = 1,708,163,010,284,663,296/553,660,202.25
  6. Step 6: Final answer
    x = 3,085,219,062.78

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.