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Finding the Third Proportional to 5,471,929 and 11,878,430

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Solution

The third proportional to 5,471,929 and 11,878,430 is: 25,785,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471,929 : 11,878,430 = 11,878,430 : x
  2. Step 2: Convert to fraction form
    5,471,929/11,878,430 = 11,878,430/x
  3. Step 3: Cross multiply
    5,471,929x = 11,878,430 × 11,878,430
  4. Step 4: Simplify right side
    5,471,929x = 141,097,099,264,900
  5. Step 5: Solve for x
    x = 141,097,099,264,900/5,471,929
  6. Step 6: Final answer
    x = 25,785,623.18

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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.