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Finding the Third Proportional to 23,142,296 and 49,767,376

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Solution

The third proportional to 23,142,296 and 49,767,376 is: 107,024,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142,296 : 49,767,376 = 49,767,376 : x
  2. Step 2: Convert to fraction form
    23,142,296/49,767,376 = 49,767,376/x
  3. Step 3: Cross multiply
    23,142,296x = 49,767,376 × 49,767,376
  4. Step 4: Simplify right side
    23,142,296x = 2,476,791,713,925,376
  5. Step 5: Solve for x
    x = 2,476,791,713,925,376/23,142,296
  6. Step 6: Final answer
    x = 107,024,459.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.