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Finding the Third Proportional to 4,571,269 and 9,830,498

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Solution

The third proportional to 4,571,269 and 9,830,498 is: 21,140,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571,269 : 9,830,498 = 9,830,498 : x
  2. Step 2: Convert to fraction form
    4,571,269/9,830,498 = 9,830,498/x
  3. Step 3: Cross multiply
    4,571,269x = 9,830,498 × 9,830,498
  4. Step 4: Simplify right side
    4,571,269x = 96,638,690,928,004
  5. Step 5: Solve for x
    x = 96,638,690,928,004/4,571,269
  6. Step 6: Final answer
    x = 21,140,451.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.