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Finding the Third Proportional to 4,607,069 and 10,024,420

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Solution

The third proportional to 4,607,069 and 10,024,420 is: 21,811,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607,069 : 10,024,420 = 10,024,420 : x
  2. Step 2: Convert to fraction form
    4,607,069/10,024,420 = 10,024,420/x
  3. Step 3: Cross multiply
    4,607,069x = 10,024,420 × 10,024,420
  4. Step 4: Simplify right side
    4,607,069x = 100,488,996,336,400
  5. Step 5: Solve for x
    x = 100,488,996,336,400/4,607,069
  6. Step 6: Final answer
    x = 21,811,914.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.