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Finding the Third Proportional to 31,295,379.75 and 47,872,476

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Solution

The third proportional to 31,295,379.75 and 47,872,476 is: 73,230,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295,379.75 : 47,872,476 = 47,872,476 : x
  2. Step 2: Convert to fraction form
    31,295,379.75/47,872,476 = 47,872,476/x
  3. Step 3: Cross multiply
    31,295,379.75x = 47,872,476 × 47,872,476
  4. Step 4: Simplify right side
    31,295,379.75x = 2,291,773,958,370,576
  5. Step 5: Solve for x
    x = 2,291,773,958,370,576/31,295,379.75
  6. Step 6: Final answer
    x = 73,230,424.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.