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Finding the Third Proportional to 2,567,580 and 5,499,498

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Solution

The third proportional to 2,567,580 and 5,499,498 is: 11,779,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,580 : 5,499,498 = 5,499,498 : x
  2. Step 2: Convert to fraction form
    2,567,580/5,499,498 = 5,499,498/x
  3. Step 3: Cross multiply
    2,567,580x = 5,499,498 × 5,499,498
  4. Step 4: Simplify right side
    2,567,580x = 30,244,478,252,004
  5. Step 5: Solve for x
    x = 30,244,478,252,004/2,567,580
  6. Step 6: Final answer
    x = 11,779,371.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.