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Finding the Third Proportional to 383,713,717.50 and 843,937,438.50

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Solution

The third proportional to 383,713,717.50 and 843,937,438.50 is: 1,856,150,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,713,717.50 : 843,937,438.50 = 843,937,438.50 : x
  2. Step 2: Convert to fraction form
    383,713,717.50/843,937,438.50 = 843,937,438.50/x
  3. Step 3: Cross multiply
    383,713,717.50x = 843,937,438.50 × 843,937,438.50
  4. Step 4: Simplify right side
    383,713,717.50x = 712,230,400,101,941,248
  5. Step 5: Solve for x
    x = 712,230,400,101,941,248/383,713,717.50
  6. Step 6: Final answer
    x = 1,856,150,477.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.