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Finding the Third Proportional to 8,069,316 and 17,413,824

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Solution

The third proportional to 8,069,316 and 17,413,824 is: 37,579,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069,316 : 17,413,824 = 17,413,824 : x
  2. Step 2: Convert to fraction form
    8,069,316/17,413,824 = 17,413,824/x
  3. Step 3: Cross multiply
    8,069,316x = 17,413,824 × 17,413,824
  4. Step 4: Simplify right side
    8,069,316x = 303,241,266,302,976
  5. Step 5: Solve for x
    x = 303,241,266,302,976/8,069,316
  6. Step 6: Final answer
    x = 37,579,550.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.