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Finding the Third Proportional to 4,890,699,477 and 10,742,190,138

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Solution

The third proportional to 4,890,699,477 and 10,742,190,138 is: 23,594,712,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890,699,477 : 10,742,190,138 = 10,742,190,138 : x
  2. Step 2: Convert to fraction form
    4,890,699,477/10,742,190,138 = 10,742,190,138/x
  3. Step 3: Cross multiply
    4,890,699,477x = 10,742,190,138 × 10,742,190,138
  4. Step 4: Simplify right side
    4,890,699,477x = 115,394,648,960,944,455,680
  5. Step 5: Solve for x
    x = 115,394,648,960,944,455,680/4,890,699,477
  6. Step 6: Final answer
    x = 23,594,712,679.37

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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.