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Finding the Third Proportional to 5,758,884 and 12,602,408

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Solution

The third proportional to 5,758,884 and 12,602,408 is: 27,578,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758,884 : 12,602,408 = 12,602,408 : x
  2. Step 2: Convert to fraction form
    5,758,884/12,602,408 = 12,602,408/x
  3. Step 3: Cross multiply
    5,758,884x = 12,602,408 × 12,602,408
  4. Step 4: Simplify right side
    5,758,884x = 158,820,687,398,464
  5. Step 5: Solve for x
    x = 158,820,687,398,464/5,758,884
  6. Step 6: Final answer
    x = 27,578,379.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.