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Finding the Third Proportional to 11,300,296 and 24,713,248

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Solution

The third proportional to 11,300,296 and 24,713,248 is: 54,046,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300,296 : 24,713,248 = 24,713,248 : x
  2. Step 2: Convert to fraction form
    11,300,296/24,713,248 = 24,713,248/x
  3. Step 3: Cross multiply
    11,300,296x = 24,713,248 × 24,713,248
  4. Step 4: Simplify right side
    11,300,296x = 610,744,626,709,504
  5. Step 5: Solve for x
    x = 610,744,626,709,504/11,300,296
  6. Step 6: Final answer
    x = 54,046,781.32

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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.