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Finding the Third Proportional to 8,020,584 and 17,319,600

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Solution

The third proportional to 8,020,584 and 17,319,600 is: 37,399,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,584 : 17,319,600 = 17,319,600 : x
  2. Step 2: Convert to fraction form
    8,020,584/17,319,600 = 17,319,600/x
  3. Step 3: Cross multiply
    8,020,584x = 17,319,600 × 17,319,600
  4. Step 4: Simplify right side
    8,020,584x = 299,968,544,160,000
  5. Step 5: Solve for x
    x = 299,968,544,160,000/8,020,584
  6. Step 6: Final answer
    x = 37,399,838.24

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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.