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Finding the Third Proportional to 9,029,686 and 19,283,984

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Solution

The third proportional to 9,029,686 and 19,283,984 is: 41,183,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029,686 : 19,283,984 = 19,283,984 : x
  2. Step 2: Convert to fraction form
    9,029,686/19,283,984 = 19,283,984/x
  3. Step 3: Cross multiply
    9,029,686x = 19,283,984 × 19,283,984
  4. Step 4: Simplify right side
    9,029,686x = 371,872,038,912,256
  5. Step 5: Solve for x
    x = 371,872,038,912,256/9,029,686
  6. Step 6: Final answer
    x = 41,183,274.69

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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.