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Finding the Third Proportional to 65,958,576 and 86,735,232

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Solution

The third proportional to 65,958,576 and 86,735,232 is: 114,056,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,958,576 : 86,735,232 = 86,735,232 : x
  2. Step 2: Convert to fraction form
    65,958,576/86,735,232 = 86,735,232/x
  3. Step 3: Cross multiply
    65,958,576x = 86,735,232 × 86,735,232
  4. Step 4: Simplify right side
    65,958,576x = 7,523,000,470,093,824
  5. Step 5: Solve for x
    x = 7,523,000,470,093,824/65,958,576
  6. Step 6: Final answer
    x = 114,056,441.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.