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Finding the Third Proportional to 574,618,652.50 and 821,705,651.50

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Solution

The third proportional to 574,618,652.50 and 821,705,651.50 is: 1,175,040,480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,618,652.50 : 821,705,651.50 = 821,705,651.50 : x
  2. Step 2: Convert to fraction form
    574,618,652.50/821,705,651.50 = 821,705,651.50/x
  3. Step 3: Cross multiply
    574,618,652.50x = 821,705,651.50 × 821,705,651.50
  4. Step 4: Simplify right side
    574,618,652.50x = 675,200,177,707,039,488
  5. Step 5: Solve for x
    x = 675,200,177,707,039,488/574,618,652.50
  6. Step 6: Final answer
    x = 1,175,040,480.79

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.