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Finding the Third Proportional to 374,800,465,396.50 and 570,982,583,475.75

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Solution

The third proportional to 374,800,465,396.50 and 570,982,583,475.75 is: 869,852,470,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,800,465,396.50 : 570,982,583,475.75 = 570,982,583,475.75 : x
  2. Step 2: Convert to fraction form
    374,800,465,396.50/570,982,583,475.75 = 570,982,583,475.75/x
  3. Step 3: Cross multiply
    374,800,465,396.50x = 570,982,583,475.75 × 570,982,583,475.75
  4. Step 4: Simplify right side
    374,800,465,396.50x = 326,021,110,632,641,833,467,904
  5. Step 5: Solve for x
    x = 326,021,110,632,641,833,467,904/374,800,465,396.50
  6. Step 6: Final answer
    x = 869,852,470,134.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.