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Finding the Third Proportional to 471,842,544 and 707,763,876

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Solution

The third proportional to 471,842,544 and 707,763,876 is: 1,061,645,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,842,544 : 707,763,876 = 707,763,876 : x
  2. Step 2: Convert to fraction form
    471,842,544/707,763,876 = 707,763,876/x
  3. Step 3: Cross multiply
    471,842,544x = 707,763,876 × 707,763,876
  4. Step 4: Simplify right side
    471,842,544x = 500,929,704,170,543,360
  5. Step 5: Solve for x
    x = 500,929,704,170,543,360/471,842,544
  6. Step 6: Final answer
    x = 1,061,645,904.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.