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Finding the Third Proportional to 4,269,369 and 9,296,465

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Solution

The third proportional to 4,269,369 and 9,296,465 is: 20,242,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269,369 : 9,296,465 = 9,296,465 : x
  2. Step 2: Convert to fraction form
    4,269,369/9,296,465 = 9,296,465/x
  3. Step 3: Cross multiply
    4,269,369x = 9,296,465 × 9,296,465
  4. Step 4: Simplify right side
    4,269,369x = 86,424,261,496,225
  5. Step 5: Solve for x
    x = 86,424,261,496,225/4,269,369
  6. Step 6: Final answer
    x = 20,242,865.28

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Why These Related Problems?

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