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Finding the Third Proportional to 31,197,920.21 and 48,685,544.90

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Solution

The third proportional to 31,197,920.21 and 48,685,544.90 is: 75,975,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197,920.21 : 48,685,544.90 = 48,685,544.90 : x
  2. Step 2: Convert to fraction form
    31,197,920.21/48,685,544.90 = 48,685,544.90/x
  3. Step 3: Cross multiply
    31,197,920.21x = 48,685,544.90 × 48,685,544.90
  4. Step 4: Simplify right side
    31,197,920.21x = 2,370,282,282,105,242
  5. Step 5: Solve for x
    x = 2,370,282,282,105,242/31,197,920.21
  6. Step 6: Final answer
    x = 75,975,650.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.