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Finding the Third Proportional to 4,910,319 and 11,574,987

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Solution

The third proportional to 4,910,319 and 11,574,987 is: 27,285,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910,319 : 11,574,987 = 11,574,987 : x
  2. Step 2: Convert to fraction form
    4,910,319/11,574,987 = 11,574,987/x
  3. Step 3: Cross multiply
    4,910,319x = 11,574,987 × 11,574,987
  4. Step 4: Simplify right side
    4,910,319x = 133,980,324,050,169
  5. Step 5: Solve for x
    x = 133,980,324,050,169/4,910,319
  6. Step 6: Final answer
    x = 27,285,462.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.