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Finding the Third Proportional to 7,178,744 and 15,366,376

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Solution

The third proportional to 7,178,744 and 15,366,376 is: 32,892,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178,744 : 15,366,376 = 15,366,376 : x
  2. Step 2: Convert to fraction form
    7,178,744/15,366,376 = 15,366,376/x
  3. Step 3: Cross multiply
    7,178,744x = 15,366,376 × 15,366,376
  4. Step 4: Simplify right side
    7,178,744x = 236,125,511,373,376
  5. Step 5: Solve for x
    x = 236,125,511,373,376/7,178,744
  6. Step 6: Final answer
    x = 32,892,315.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.