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Finding the Third Proportional to 2,916,024 and 6,358,569

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Solution

The third proportional to 2,916,024 and 6,358,569 is: 13,865,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916,024 : 6,358,569 = 6,358,569 : x
  2. Step 2: Convert to fraction form
    2,916,024/6,358,569 = 6,358,569/x
  3. Step 3: Cross multiply
    2,916,024x = 6,358,569 × 6,358,569
  4. Step 4: Simplify right side
    2,916,024x = 40,431,399,727,761
  5. Step 5: Solve for x
    x = 40,431,399,727,761/2,916,024
  6. Step 6: Final answer
    x = 13,865,249.30

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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.