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Finding the Third Proportional to 37,890,834 and 79,742,676

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Solution

The third proportional to 37,890,834 and 79,742,676 is: 167,821,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,890,834 : 79,742,676 = 79,742,676 : x
  2. Step 2: Convert to fraction form
    37,890,834/79,742,676 = 79,742,676/x
  3. Step 3: Cross multiply
    37,890,834x = 79,742,676 × 79,742,676
  4. Step 4: Simplify right side
    37,890,834x = 6,358,894,375,640,976
  5. Step 5: Solve for x
    x = 6,358,894,375,640,976/37,890,834
  6. Step 6: Final answer
    x = 167,821,441.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.