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Finding the Third Proportional to 38,202,664 and 82,455,240

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Solution

The third proportional to 38,202,664 and 82,455,240 is: 177,968,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202,664 : 82,455,240 = 82,455,240 : x
  2. Step 2: Convert to fraction form
    38,202,664/82,455,240 = 82,455,240/x
  3. Step 3: Cross multiply
    38,202,664x = 82,455,240 × 82,455,240
  4. Step 4: Simplify right side
    38,202,664x = 6,798,866,603,457,600
  5. Step 5: Solve for x
    x = 6,798,866,603,457,600/38,202,664
  6. Step 6: Final answer
    x = 177,968,389.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.