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Finding the Third Proportional to 8,111,259 and 17,373,933

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Solution

The third proportional to 8,111,259 and 17,373,933 is: 37,214,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111,259 : 17,373,933 = 17,373,933 : x
  2. Step 2: Convert to fraction form
    8,111,259/17,373,933 = 17,373,933/x
  3. Step 3: Cross multiply
    8,111,259x = 17,373,933 × 17,373,933
  4. Step 4: Simplify right side
    8,111,259x = 301,853,547,888,489
  5. Step 5: Solve for x
    x = 301,853,547,888,489/8,111,259
  6. Step 6: Final answer
    x = 37,214,142.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.