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Finding the Third Proportional to 2,863,314 and 6,223,623

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Solution

The third proportional to 2,863,314 and 6,223,623 is: 13,527,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,314 : 6,223,623 = 6,223,623 : x
  2. Step 2: Convert to fraction form
    2,863,314/6,223,623 = 6,223,623/x
  3. Step 3: Cross multiply
    2,863,314x = 6,223,623 × 6,223,623
  4. Step 4: Simplify right side
    2,863,314x = 38,733,483,246,129
  5. Step 5: Solve for x
    x = 38,733,483,246,129/2,863,314
  6. Step 6: Final answer
    x = 13,527,501.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.