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Finding the Third Proportional to 6,824,464 and 14,934,560

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Solution

The third proportional to 6,824,464 and 14,934,560 is: 32,682,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824,464 : 14,934,560 = 14,934,560 : x
  2. Step 2: Convert to fraction form
    6,824,464/14,934,560 = 14,934,560/x
  3. Step 3: Cross multiply
    6,824,464x = 14,934,560 × 14,934,560
  4. Step 4: Simplify right side
    6,824,464x = 223,041,082,393,600
  5. Step 5: Solve for x
    x = 223,041,082,393,600/6,824,464
  6. Step 6: Final answer
    x = 32,682,578.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.