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Finding the Third Proportional to 4,323,498 and 10,019,481

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Solution

The third proportional to 4,323,498 and 10,019,481 is: 23,219,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323,498 : 10,019,481 = 10,019,481 : x
  2. Step 2: Convert to fraction form
    4,323,498/10,019,481 = 10,019,481/x
  3. Step 3: Cross multiply
    4,323,498x = 10,019,481 × 10,019,481
  4. Step 4: Simplify right side
    4,323,498x = 100,389,999,509,361
  5. Step 5: Solve for x
    x = 100,389,999,509,361/4,323,498
  6. Step 6: Final answer
    x = 23,219,624.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.