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Finding the Third Proportional to 816,092,767 and 1,770,742,156

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Solution

The third proportional to 816,092,767 and 1,770,742,156 is: 3,842,121,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,092,767 : 1,770,742,156 = 1,770,742,156 : x
  2. Step 2: Convert to fraction form
    816,092,767/1,770,742,156 = 1,770,742,156/x
  3. Step 3: Cross multiply
    816,092,767x = 1,770,742,156 × 1,770,742,156
  4. Step 4: Simplify right side
    816,092,767x = 3,135,527,783,035,528,192
  5. Step 5: Solve for x
    x = 3,135,527,783,035,528,192/816,092,767
  6. Step 6: Final answer
    x = 3,842,121,765.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.