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Finding the Third Proportional to 816,092,766 and 1,770,742,154

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Solution

The third proportional to 816,092,766 and 1,770,742,154 is: 3,842,121,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,092,766 : 1,770,742,154 = 1,770,742,154 : x
  2. Step 2: Convert to fraction form
    816,092,766/1,770,742,154 = 1,770,742,154/x
  3. Step 3: Cross multiply
    816,092,766x = 1,770,742,154 × 1,770,742,154
  4. Step 4: Simplify right side
    816,092,766x = 3,135,527,775,952,559,616
  5. Step 5: Solve for x
    x = 3,135,527,775,952,559,616/816,092,766
  6. Step 6: Final answer
    x = 3,842,121,761.87

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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.