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Finding the Third Proportional to 7,960,981 and 17,412,486

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Solution

The third proportional to 7,960,981 and 17,412,486 is: 38,085,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960,981 : 17,412,486 = 17,412,486 : x
  2. Step 2: Convert to fraction form
    7,960,981/17,412,486 = 17,412,486/x
  3. Step 3: Cross multiply
    7,960,981x = 17,412,486 × 17,412,486
  4. Step 4: Simplify right side
    7,960,981x = 303,194,668,700,196
  5. Step 5: Solve for x
    x = 303,194,668,700,196/7,960,981
  6. Step 6: Final answer
    x = 38,085,088.85

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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.