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Finding the Third Proportional to 37,890,846 and 79,742,700

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Solution

The third proportional to 37,890,846 and 79,742,700 is: 167,821,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,890,846 : 79,742,700 = 79,742,700 : x
  2. Step 2: Convert to fraction form
    37,890,846/79,742,700 = 79,742,700/x
  3. Step 3: Cross multiply
    37,890,846x = 79,742,700 × 79,742,700
  4. Step 4: Simplify right side
    37,890,846x = 6,358,898,203,290,000
  5. Step 5: Solve for x
    x = 6,358,898,203,290,000/37,890,846
  6. Step 6: Final answer
    x = 167,821,489.21

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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.