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Finding the Third Proportional to 46,970,532 and 66,145,176

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Solution

The third proportional to 46,970,532 and 66,145,176 is: 93,147,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,970,532 : 66,145,176 = 66,145,176 : x
  2. Step 2: Convert to fraction form
    46,970,532/66,145,176 = 66,145,176/x
  3. Step 3: Cross multiply
    46,970,532x = 66,145,176 × 66,145,176
  4. Step 4: Simplify right side
    46,970,532x = 4,375,184,308,070,976
  5. Step 5: Solve for x
    x = 4,375,184,308,070,976/46,970,532
  6. Step 6: Final answer
    x = 93,147,429.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.