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Finding the Third Proportional to 7,880,514 and 17,106,174

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Solution

The third proportional to 7,880,514 and 17,106,174 is: 37,132,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880,514 : 17,106,174 = 17,106,174 : x
  2. Step 2: Convert to fraction form
    7,880,514/17,106,174 = 17,106,174/x
  3. Step 3: Cross multiply
    7,880,514x = 17,106,174 × 17,106,174
  4. Step 4: Simplify right side
    7,880,514x = 292,621,188,918,276
  5. Step 5: Solve for x
    x = 292,621,188,918,276/7,880,514
  6. Step 6: Final answer
    x = 37,132,246.57

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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.