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Finding the Third Proportional to 12,278,792.25 and 26,735,965.88

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Solution

The third proportional to 12,278,792.25 and 26,735,965.88 is: 58,215,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278,792.25 : 26,735,965.88 = 26,735,965.88 : x
  2. Step 2: Convert to fraction form
    12,278,792.25/26,735,965.88 = 26,735,965.88/x
  3. Step 3: Cross multiply
    12,278,792.25x = 26,735,965.88 × 26,735,965.88
  4. Step 4: Simplify right side
    12,278,792.25x = 714,811,871,269,164.50
  5. Step 5: Solve for x
    x = 714,811,871,269,164.50/12,278,792.25
  6. Step 6: Final answer
    x = 58,215,161.29

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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.