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Finding the Third Proportional to 4,822,002 and 10,315,125

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Solution

The third proportional to 4,822,002 and 10,315,125 is: 22,065,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822,002 : 10,315,125 = 10,315,125 : x
  2. Step 2: Convert to fraction form
    4,822,002/10,315,125 = 10,315,125/x
  3. Step 3: Cross multiply
    4,822,002x = 10,315,125 × 10,315,125
  4. Step 4: Simplify right side
    4,822,002x = 106,401,803,765,625
  5. Step 5: Solve for x
    x = 106,401,803,765,625/4,822,002
  6. Step 6: Final answer
    x = 22,065,897.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.