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Finding the Third Proportional to 6,552,749 and 10,256,933

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Solution

The third proportional to 6,552,749 and 10,256,933 is: 16,055,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552,749 : 10,256,933 = 10,256,933 : x
  2. Step 2: Convert to fraction form
    6,552,749/10,256,933 = 10,256,933/x
  3. Step 3: Cross multiply
    6,552,749x = 10,256,933 × 10,256,933
  4. Step 4: Simplify right side
    6,552,749x = 105,204,674,566,489
  5. Step 5: Solve for x
    x = 105,204,674,566,489/6,552,749
  6. Step 6: Final answer
    x = 16,055,044.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.