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Finding the Third Proportional to 4,395,840 and 9,264,000

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Solution

The third proportional to 4,395,840 and 9,264,000 is: 19,523,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395,840 : 9,264,000 = 9,264,000 : x
  2. Step 2: Convert to fraction form
    4,395,840/9,264,000 = 9,264,000/x
  3. Step 3: Cross multiply
    4,395,840x = 9,264,000 × 9,264,000
  4. Step 4: Simplify right side
    4,395,840x = 85,821,696,000,000
  5. Step 5: Solve for x
    x = 85,821,696,000,000/4,395,840
  6. Step 6: Final answer
    x = 19,523,389.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.