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Finding the Third Proportional to 30,861,569 and 66,368,326

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Solution

The third proportional to 30,861,569 and 66,368,326 is: 142,726,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861,569 : 66,368,326 = 66,368,326 : x
  2. Step 2: Convert to fraction form
    30,861,569/66,368,326 = 66,368,326/x
  3. Step 3: Cross multiply
    30,861,569x = 66,368,326 × 66,368,326
  4. Step 4: Simplify right side
    30,861,569x = 4,404,754,696,042,276
  5. Step 5: Solve for x
    x = 4,404,754,696,042,276/30,861,569
  6. Step 6: Final answer
    x = 142,726,207.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.