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Finding the Third Proportional to 3,617,460 and 7,863,912

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Solution

The third proportional to 3,617,460 and 7,863,912 is: 17,095,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617,460 : 7,863,912 = 7,863,912 : x
  2. Step 2: Convert to fraction form
    3,617,460/7,863,912 = 7,863,912/x
  3. Step 3: Cross multiply
    3,617,460x = 7,863,912 × 7,863,912
  4. Step 4: Simplify right side
    3,617,460x = 61,841,111,943,744
  5. Step 5: Solve for x
    x = 61,841,111,943,744/3,617,460
  6. Step 6: Final answer
    x = 17,095,175.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.