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Finding the Third Proportional to 2,310,511 and 5,152,277

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Solution

The third proportional to 2,310,511 and 5,152,277 is: 11,489,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,511 : 5,152,277 = 5,152,277 : x
  2. Step 2: Convert to fraction form
    2,310,511/5,152,277 = 5,152,277/x
  3. Step 3: Cross multiply
    2,310,511x = 5,152,277 × 5,152,277
  4. Step 4: Simplify right side
    2,310,511x = 26,545,958,284,729
  5. Step 5: Solve for x
    x = 26,545,958,284,729/2,310,511
  6. Step 6: Final answer
    x = 11,489,215.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.