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Finding the Third Proportional to 4,312,404.28 and 9,256,923.84

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Solution

The third proportional to 4,312,404.28 and 9,256,923.84 is: 19,870,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312,404.28 : 9,256,923.84 = 9,256,923.84 : x
  2. Step 2: Convert to fraction form
    4,312,404.28/9,256,923.84 = 9,256,923.84/x
  3. Step 3: Cross multiply
    4,312,404.28x = 9,256,923.84 × 9,256,923.84
  4. Step 4: Simplify right side
    4,312,404.28x = 85,690,639,048,987.28
  5. Step 5: Solve for x
    x = 85,690,639,048,987.28/4,312,404.28
  6. Step 6: Final answer
    x = 19,870,734.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.