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Finding the Third Proportional to 7,019,584 and 15,331,009

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Solution

The third proportional to 7,019,584 and 15,331,009 is: 33,483,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019,584 : 15,331,009 = 15,331,009 : x
  2. Step 2: Convert to fraction form
    7,019,584/15,331,009 = 15,331,009/x
  3. Step 3: Cross multiply
    7,019,584x = 15,331,009 × 15,331,009
  4. Step 4: Simplify right side
    7,019,584x = 235,039,836,958,081
  5. Step 5: Solve for x
    x = 235,039,836,958,081/7,019,584
  6. Step 6: Final answer
    x = 33,483,442.46

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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.