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Finding the Third Proportional to 374,800,465,429.86 and 570,982,583,522.86

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Solution

The third proportional to 374,800,465,429.86 and 570,982,583,522.86 is: 869,852,470,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,800,465,429.86 : 570,982,583,522.86 = 570,982,583,522.86 : x
  2. Step 2: Convert to fraction form
    374,800,465,429.86/570,982,583,522.86 = 570,982,583,522.86/x
  3. Step 3: Cross multiply
    374,800,465,429.86x = 570,982,583,522.86 × 570,982,583,522.86
  4. Step 4: Simplify right side
    374,800,465,429.86x = 326,021,110,686,439,788,511,232
  5. Step 5: Solve for x
    x = 326,021,110,686,439,788,511,232/374,800,465,429.86
  6. Step 6: Final answer
    x = 869,852,470,200.44

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Why These Related Problems?

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