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Finding the Third Proportional to 3,621,216 and 7,938,816

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Solution

The third proportional to 3,621,216 and 7,938,816 is: 17,404,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621,216 : 7,938,816 = 7,938,816 : x
  2. Step 2: Convert to fraction form
    3,621,216/7,938,816 = 7,938,816/x
  3. Step 3: Cross multiply
    3,621,216x = 7,938,816 × 7,938,816
  4. Step 4: Simplify right side
    3,621,216x = 63,024,799,481,856
  5. Step 5: Solve for x
    x = 63,024,799,481,856/3,621,216
  6. Step 6: Final answer
    x = 17,404,319.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.