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Finding the Third Proportional to 76,866,154 and 167,915,732

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Solution

The third proportional to 76,866,154 and 167,915,732 is: 366,815,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,866,154 : 167,915,732 = 167,915,732 : x
  2. Step 2: Convert to fraction form
    76,866,154/167,915,732 = 167,915,732/x
  3. Step 3: Cross multiply
    76,866,154x = 167,915,732 × 167,915,732
  4. Step 4: Simplify right side
    76,866,154x = 28,195,693,053,095,824
  5. Step 5: Solve for x
    x = 28,195,693,053,095,824/76,866,154
  6. Step 6: Final answer
    x = 366,815,452.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.