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Finding the Third Proportional to 8,276,896 and 12,769,608

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Solution

The third proportional to 8,276,896 and 12,769,608 is: 19,700,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276,896 : 12,769,608 = 12,769,608 : x
  2. Step 2: Convert to fraction form
    8,276,896/12,769,608 = 12,769,608/x
  3. Step 3: Cross multiply
    8,276,896x = 12,769,608 × 12,769,608
  4. Step 4: Simplify right side
    8,276,896x = 163,062,888,473,664
  5. Step 5: Solve for x
    x = 163,062,888,473,664/8,276,896
  6. Step 6: Final answer
    x = 19,700,971.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.