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Finding the Third Proportional to 7,866,314 and 17,293,674

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Solution

The third proportional to 7,866,314 and 17,293,674 is: 38,019,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866,314 : 17,293,674 = 17,293,674 : x
  2. Step 2: Convert to fraction form
    7,866,314/17,293,674 = 17,293,674/x
  3. Step 3: Cross multiply
    7,866,314x = 17,293,674 × 17,293,674
  4. Step 4: Simplify right side
    7,866,314x = 299,071,160,418,276
  5. Step 5: Solve for x
    x = 299,071,160,418,276/7,866,314
  6. Step 6: Final answer
    x = 38,019,224.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.