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Finding the Third Proportional to 4,605,660.63 and 7,224,034.04

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Solution

The third proportional to 4,605,660.63 and 7,224,034.04 is: 11,330,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605,660.63 : 7,224,034.04 = 7,224,034.04 : x
  2. Step 2: Convert to fraction form
    4,605,660.63/7,224,034.04 = 7,224,034.04/x
  3. Step 3: Cross multiply
    4,605,660.63x = 7,224,034.04 × 7,224,034.04
  4. Step 4: Simplify right side
    4,605,660.63x = 52,186,667,853,975.03
  5. Step 5: Solve for x
    x = 52,186,667,853,975.03/4,605,660.63
  6. Step 6: Final answer
    x = 11,330,984.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.