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Finding the Third Proportional to 1,665,641,136 and 3,618,016,440

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Solution

The third proportional to 1,665,641,136 and 3,618,016,440 is: 7,858,861,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,641,136 : 3,618,016,440 = 3,618,016,440 : x
  2. Step 2: Convert to fraction form
    1,665,641,136/3,618,016,440 = 3,618,016,440/x
  3. Step 3: Cross multiply
    1,665,641,136x = 3,618,016,440 × 3,618,016,440
  4. Step 4: Simplify right side
    1,665,641,136x = 13,090,042,960,110,274,560
  5. Step 5: Solve for x
    x = 13,090,042,960,110,274,560/1,665,641,136
  6. Step 6: Final answer
    x = 7,858,861,478.14

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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.