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Finding the Third Proportional to 32,851,179 and 76,048,356

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Solution

The third proportional to 32,851,179 and 76,048,356 is: 176,047,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851,179 : 76,048,356 = 76,048,356 : x
  2. Step 2: Convert to fraction form
    32,851,179/76,048,356 = 76,048,356/x
  3. Step 3: Cross multiply
    32,851,179x = 76,048,356 × 76,048,356
  4. Step 4: Simplify right side
    32,851,179x = 5,783,352,450,302,736
  5. Step 5: Solve for x
    x = 5,783,352,450,302,736/32,851,179
  6. Step 6: Final answer
    x = 176,047,028.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.