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Finding the Third Proportional to 8,626,584 and 18,464,980

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Solution

The third proportional to 8,626,584 and 18,464,980 is: 39,523,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626,584 : 18,464,980 = 18,464,980 : x
  2. Step 2: Convert to fraction form
    8,626,584/18,464,980 = 18,464,980/x
  3. Step 3: Cross multiply
    8,626,584x = 18,464,980 × 18,464,980
  4. Step 4: Simplify right side
    8,626,584x = 340,955,486,400,400
  5. Step 5: Solve for x
    x = 340,955,486,400,400/8,626,584
  6. Step 6: Final answer
    x = 39,523,812.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.