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Finding the Third Proportional to 9,659,416.50 and 13,071,948.75

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Solution

The third proportional to 9,659,416.50 and 13,071,948.75 is: 17,690,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,416.50 : 13,071,948.75 = 13,071,948.75 : x
  2. Step 2: Convert to fraction form
    9,659,416.50/13,071,948.75 = 13,071,948.75/x
  3. Step 3: Cross multiply
    9,659,416.50x = 13,071,948.75 × 13,071,948.75
  4. Step 4: Simplify right side
    9,659,416.50x = 170,875,844,122,626.56
  5. Step 5: Solve for x
    x = 170,875,844,122,626.56/9,659,416.50
  6. Step 6: Final answer
    x = 17,690,079.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.