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Finding the Third Proportional to 5,206,408 and 10,666,544

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Solution

The third proportional to 5,206,408 and 10,666,544 is: 21,852,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,408 : 10,666,544 = 10,666,544 : x
  2. Step 2: Convert to fraction form
    5,206,408/10,666,544 = 10,666,544/x
  3. Step 3: Cross multiply
    5,206,408x = 10,666,544 × 10,666,544
  4. Step 4: Simplify right side
    5,206,408x = 113,775,160,903,936
  5. Step 5: Solve for x
    x = 113,775,160,903,936/5,206,408
  6. Step 6: Final answer
    x = 21,852,909.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.