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Finding the Third Proportional to 2,909,470 and 6,322,557.25

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Solution

The third proportional to 2,909,470 and 6,322,557.25 is: 13,739,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,470 : 6,322,557.25 = 6,322,557.25 : x
  2. Step 2: Convert to fraction form
    2,909,470/6,322,557.25 = 6,322,557.25/x
  3. Step 3: Cross multiply
    2,909,470x = 6,322,557.25 × 6,322,557.25
  4. Step 4: Simplify right side
    2,909,470x = 39,974,730,179,527.56
  5. Step 5: Solve for x
    x = 39,974,730,179,527.56/2,909,470
  6. Step 6: Final answer
    x = 13,739,523.07

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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.