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Finding the Third Proportional to 7,684,422 and 16,560,588

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Solution

The third proportional to 7,684,422 and 16,560,588 is: 35,689,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684,422 : 16,560,588 = 16,560,588 : x
  2. Step 2: Convert to fraction form
    7,684,422/16,560,588 = 16,560,588/x
  3. Step 3: Cross multiply
    7,684,422x = 16,560,588 × 16,560,588
  4. Step 4: Simplify right side
    7,684,422x = 274,253,074,905,744
  5. Step 5: Solve for x
    x = 274,253,074,905,744/7,684,422
  6. Step 6: Final answer
    x = 35,689,486.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.