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Finding the Third Proportional to 7,270,967.53 and 11,057,525.16

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Solution

The third proportional to 7,270,967.53 and 11,057,525.16 is: 16,816,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270,967.53 : 11,057,525.16 = 11,057,525.16 : x
  2. Step 2: Convert to fraction form
    7,270,967.53/11,057,525.16 = 11,057,525.16/x
  3. Step 3: Cross multiply
    7,270,967.53x = 11,057,525.16 × 11,057,525.16
  4. Step 4: Simplify right side
    7,270,967.53x = 122,268,862,581,101.59
  5. Step 5: Solve for x
    x = 122,268,862,581,101.59/7,270,967.53
  6. Step 6: Final answer
    x = 16,816,037.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.