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Finding the Third Proportional to 5,703,408 and 11,878,608

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Solution

The third proportional to 5,703,408 and 11,878,608 is: 24,739,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703,408 : 11,878,608 = 11,878,608 : x
  2. Step 2: Convert to fraction form
    5,703,408/11,878,608 = 11,878,608/x
  3. Step 3: Cross multiply
    5,703,408x = 11,878,608 × 11,878,608
  4. Step 4: Simplify right side
    5,703,408x = 141,101,328,017,664
  5. Step 5: Solve for x
    x = 141,101,328,017,664/5,703,408
  6. Step 6: Final answer
    x = 24,739,827.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.