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Finding the Third Proportional to 9,656,939.25 and 14,486,562

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Solution

The third proportional to 9,656,939.25 and 14,486,562 is: 21,731,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656,939.25 : 14,486,562 = 14,486,562 : x
  2. Step 2: Convert to fraction form
    9,656,939.25/14,486,562 = 14,486,562/x
  3. Step 3: Cross multiply
    9,656,939.25x = 14,486,562 × 14,486,562
  4. Step 4: Simplify right side
    9,656,939.25x = 209,860,478,579,844
  5. Step 5: Solve for x
    x = 209,860,478,579,844/9,656,939.25
  6. Step 6: Final answer
    x = 21,731,572.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.