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Finding the Third Proportional to 7,976,492 and 17,396,584

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Solution

The third proportional to 7,976,492 and 17,396,584 is: 37,941,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976,492 : 17,396,584 = 17,396,584 : x
  2. Step 2: Convert to fraction form
    7,976,492/17,396,584 = 17,396,584/x
  3. Step 3: Cross multiply
    7,976,492x = 17,396,584 × 17,396,584
  4. Step 4: Simplify right side
    7,976,492x = 302,641,134,869,056
  5. Step 5: Solve for x
    x = 302,641,134,869,056/7,976,492
  6. Step 6: Final answer
    x = 37,941,633.35

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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.