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Finding the Third Proportional to 3,688,674,813 and 7,966,305,162

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Solution

The third proportional to 3,688,674,813 and 7,966,305,162 is: 17,204,557,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688,674,813 : 7,966,305,162 = 7,966,305,162 : x
  2. Step 2: Convert to fraction form
    3,688,674,813/7,966,305,162 = 7,966,305,162/x
  3. Step 3: Cross multiply
    3,688,674,813x = 7,966,305,162 × 7,966,305,162
  4. Step 4: Simplify right side
    3,688,674,813x = 63,462,017,934,107,844,608
  5. Step 5: Solve for x
    x = 63,462,017,934,107,844,608/3,688,674,813
  6. Step 6: Final answer
    x = 17,204,557,504.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.