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Finding the Third Proportional to 17,475,647 and 26,213,473

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Solution

The third proportional to 17,475,647 and 26,213,473 is: 39,320,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475,647 : 26,213,473 = 26,213,473 : x
  2. Step 2: Convert to fraction form
    17,475,647/26,213,473 = 26,213,473/x
  3. Step 3: Cross multiply
    17,475,647x = 26,213,473 × 26,213,473
  4. Step 4: Simplify right side
    17,475,647x = 687,146,166,721,729
  5. Step 5: Solve for x
    x = 687,146,166,721,729/17,475,647
  6. Step 6: Final answer
    x = 39,320,213.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.