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Finding the Third Proportional to 6,509,485 and 14,176,196.75

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Solution

The third proportional to 6,509,485 and 14,176,196.75 is: 30,872,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,485 : 14,176,196.75 = 14,176,196.75 : x
  2. Step 2: Convert to fraction form
    6,509,485/14,176,196.75 = 14,176,196.75/x
  3. Step 3: Cross multiply
    6,509,485x = 14,176,196.75 × 14,176,196.75
  4. Step 4: Simplify right side
    6,509,485x = 200,964,554,294,710.56
  5. Step 5: Solve for x
    x = 200,964,554,294,710.56/6,509,485
  6. Step 6: Final answer
    x = 30,872,573.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.