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Finding the Third Proportional to 31,216,928 and 46,908,592

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Solution

The third proportional to 31,216,928 and 46,908,592 is: 70,487,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216,928 : 46,908,592 = 46,908,592 : x
  2. Step 2: Convert to fraction form
    31,216,928/46,908,592 = 46,908,592/x
  3. Step 3: Cross multiply
    31,216,928x = 46,908,592 × 46,908,592
  4. Step 4: Simplify right side
    31,216,928x = 2,200,416,003,422,464
  5. Step 5: Solve for x
    x = 2,200,416,003,422,464/31,216,928
  6. Step 6: Final answer
    x = 70,487,909.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.