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Finding the Third Proportional to 5,471,946 and 11,878,464

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Solution

The third proportional to 5,471,946 and 11,878,464 is: 25,785,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471,946 : 11,878,464 = 11,878,464 : x
  2. Step 2: Convert to fraction form
    5,471,946/11,878,464 = 11,878,464/x
  3. Step 3: Cross multiply
    5,471,946x = 11,878,464 × 11,878,464
  4. Step 4: Simplify right side
    5,471,946x = 141,097,906,999,296
  5. Step 5: Solve for x
    x = 141,097,906,999,296/5,471,946
  6. Step 6: Final answer
    x = 25,785,690.68

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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.