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Finding the Third Proportional to 4,890,699,504 and 10,742,190,191

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Solution

The third proportional to 4,890,699,504 and 10,742,190,191 is: 23,594,712,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890,699,504 : 10,742,190,191 = 10,742,190,191 : x
  2. Step 2: Convert to fraction form
    4,890,699,504/10,742,190,191 = 10,742,190,191/x
  3. Step 3: Cross multiply
    4,890,699,504x = 10,742,190,191 × 10,742,190,191
  4. Step 4: Simplify right side
    4,890,699,504x = 115,394,650,099,616,612,352
  5. Step 5: Solve for x
    x = 115,394,650,099,616,612,352/4,890,699,504
  6. Step 6: Final answer
    x = 23,594,712,781.93

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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.