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Finding the Third Proportional to 7,321,524.19 and 15,210,557.16

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Solution

The third proportional to 7,321,524.19 and 15,210,557.16 is: 31,600,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321,524.19 : 15,210,557.16 = 15,210,557.16 : x
  2. Step 2: Convert to fraction form
    7,321,524.19/15,210,557.16 = 15,210,557.16/x
  3. Step 3: Cross multiply
    7,321,524.19x = 15,210,557.16 × 15,210,557.16
  4. Step 4: Simplify right side
    7,321,524.19x = 231,361,049,003,548.09
  5. Step 5: Solve for x
    x = 231,361,049,003,548.09/7,321,524.19
  6. Step 6: Final answer
    x = 31,600,120.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.