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Finding the Third Proportional to 9,983,408 and 14,266,520

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Solution

The third proportional to 9,983,408 and 14,266,520 is: 20,387,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983,408 : 14,266,520 = 14,266,520 : x
  2. Step 2: Convert to fraction form
    9,983,408/14,266,520 = 14,266,520/x
  3. Step 3: Cross multiply
    9,983,408x = 14,266,520 × 14,266,520
  4. Step 4: Simplify right side
    9,983,408x = 203,533,592,910,400
  5. Step 5: Solve for x
    x = 203,533,592,910,400/9,983,408
  6. Step 6: Final answer
    x = 20,387,185.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.