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Finding the Third Proportional to 4,890,699,500 and 10,742,190,184

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Solution

The third proportional to 4,890,699,500 and 10,742,190,184 is: 23,594,712,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890,699,500 : 10,742,190,184 = 10,742,190,184 : x
  2. Step 2: Convert to fraction form
    4,890,699,500/10,742,190,184 = 10,742,190,184/x
  3. Step 3: Cross multiply
    4,890,699,500x = 10,742,190,184 × 10,742,190,184
  4. Step 4: Simplify right side
    4,890,699,500x = 115,394,649,949,225,959,424
  5. Step 5: Solve for x
    x = 115,394,649,949,225,959,424/4,890,699,500
  6. Step 6: Final answer
    x = 23,594,712,770.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.