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Finding the Third Proportional to 1,665,641,016 and 3,618,016,200

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Solution

The third proportional to 1,665,641,016 and 3,618,016,200 is: 7,858,861,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,641,016 : 3,618,016,200 = 3,618,016,200 : x
  2. Step 2: Convert to fraction form
    1,665,641,016/3,618,016,200 = 3,618,016,200/x
  3. Step 3: Cross multiply
    1,665,641,016x = 3,618,016,200 × 3,618,016,200
  4. Step 4: Simplify right side
    1,665,641,016x = 13,090,041,223,462,440,960
  5. Step 5: Solve for x
    x = 13,090,041,223,462,440,960/1,665,641,016
  6. Step 6: Final answer
    x = 7,858,861,001.69

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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.