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Finding the Third Proportional to 12,398,896 and 26,697,742

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Solution

The third proportional to 12,398,896 and 26,697,742 is: 57,486,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398,896 : 26,697,742 = 26,697,742 : x
  2. Step 2: Convert to fraction form
    12,398,896/26,697,742 = 26,697,742/x
  3. Step 3: Cross multiply
    12,398,896x = 26,697,742 × 26,697,742
  4. Step 4: Simplify right side
    12,398,896x = 712,769,427,898,564
  5. Step 5: Solve for x
    x = 712,769,427,898,564/12,398,896
  6. Step 6: Final answer
    x = 57,486,523.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.