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Finding the Third Proportional to 4,629,213 and 10,174,718

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Solution

The third proportional to 4,629,213 and 10,174,718 is: 22,363,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629,213 : 10,174,718 = 10,174,718 : x
  2. Step 2: Convert to fraction form
    4,629,213/10,174,718 = 10,174,718/x
  3. Step 3: Cross multiply
    4,629,213x = 10,174,718 × 10,174,718
  4. Step 4: Simplify right side
    4,629,213x = 103,524,886,379,524
  5. Step 5: Solve for x
    x = 103,524,886,379,524/4,629,213
  6. Step 6: Final answer
    x = 22,363,387.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.