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Finding the Third Proportional to 37,890,837 and 79,742,682

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Solution

The third proportional to 37,890,837 and 79,742,682 is: 167,821,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,890,837 : 79,742,682 = 79,742,682 : x
  2. Step 2: Convert to fraction form
    37,890,837/79,742,682 = 79,742,682/x
  3. Step 3: Cross multiply
    37,890,837x = 79,742,682 × 79,742,682
  4. Step 4: Simplify right side
    37,890,837x = 6,358,895,332,553,124
  5. Step 5: Solve for x
    x = 6,358,895,332,553,124/37,890,837
  6. Step 6: Final answer
    x = 167,821,453.31

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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.