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Finding the Third Proportional to 5,471,944 and 11,878,460

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Solution

The third proportional to 5,471,944 and 11,878,460 is: 25,785,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471,944 : 11,878,460 = 11,878,460 : x
  2. Step 2: Convert to fraction form
    5,471,944/11,878,460 = 11,878,460/x
  3. Step 3: Cross multiply
    5,471,944x = 11,878,460 × 11,878,460
  4. Step 4: Simplify right side
    5,471,944x = 141,097,811,971,600
  5. Step 5: Solve for x
    x = 141,097,811,971,600/5,471,944
  6. Step 6: Final answer
    x = 25,785,682.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.