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Finding the Third Proportional to 7,794,924 and 17,006,376

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Solution

The third proportional to 7,794,924 and 17,006,376 is: 37,103,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794,924 : 17,006,376 = 17,006,376 : x
  2. Step 2: Convert to fraction form
    7,794,924/17,006,376 = 17,006,376/x
  3. Step 3: Cross multiply
    7,794,924x = 17,006,376 × 17,006,376
  4. Step 4: Simplify right side
    7,794,924x = 289,216,824,653,376
  5. Step 5: Solve for x
    x = 289,216,824,653,376/7,794,924
  6. Step 6: Final answer
    x = 37,103,225.72

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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.