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Finding the Third Proportional to 2,897,101.69 and 6,190,323.75

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Solution

The third proportional to 2,897,101.69 and 6,190,323.75 is: 13,227,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,101.69 : 6,190,323.75 = 6,190,323.75 : x
  2. Step 2: Convert to fraction form
    2,897,101.69/6,190,323.75 = 6,190,323.75/x
  3. Step 3: Cross multiply
    2,897,101.69x = 6,190,323.75 × 6,190,323.75
  4. Step 4: Simplify right side
    2,897,101.69x = 38,320,108,129,814.06
  5. Step 5: Solve for x
    x = 38,320,108,129,814.06/2,897,101.69
  6. Step 6: Final answer
    x = 13,227,049.74

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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.