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Finding the Third Proportional to 9,232,147.13 and 21,372,560.02

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Solution

The third proportional to 9,232,147.13 and 21,372,560.02 is: 49,477,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232,147.13 : 21,372,560.02 = 21,372,560.02 : x
  2. Step 2: Convert to fraction form
    9,232,147.13/21,372,560.02 = 21,372,560.02/x
  3. Step 3: Cross multiply
    9,232,147.13x = 21,372,560.02 × 21,372,560.02
  4. Step 4: Simplify right side
    9,232,147.13x = 456,786,321,621,449.81
  5. Step 5: Solve for x
    x = 456,786,321,621,449.81/9,232,147.13
  6. Step 6: Final answer
    x = 49,477,799.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.