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Finding the Third Proportional to 7,666,523 and 16,198,481

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Solution

The third proportional to 7,666,523 and 16,198,481 is: 34,225,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,523 : 16,198,481 = 16,198,481 : x
  2. Step 2: Convert to fraction form
    7,666,523/16,198,481 = 16,198,481/x
  3. Step 3: Cross multiply
    7,666,523x = 16,198,481 × 16,198,481
  4. Step 4: Simplify right side
    7,666,523x = 262,390,786,707,361
  5. Step 5: Solve for x
    x = 262,390,786,707,361/7,666,523
  6. Step 6: Final answer
    x = 34,225,526.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.