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Finding the Third Proportional to 12,278,817 and 26,736,014.25

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Solution

The third proportional to 12,278,817 and 26,736,014.25 is: 58,215,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278,817 : 26,736,014.25 = 26,736,014.25 : x
  2. Step 2: Convert to fraction form
    12,278,817/26,736,014.25 = 26,736,014.25/x
  3. Step 3: Cross multiply
    12,278,817x = 26,736,014.25 × 26,736,014.25
  4. Step 4: Simplify right side
    12,278,817x = 714,814,457,976,203
  5. Step 5: Solve for x
    x = 714,814,457,976,203/12,278,817
  6. Step 6: Final answer
    x = 58,215,254.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.