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Finding the Third Proportional to 4,204,768 and 9,223,424

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Solution

The third proportional to 4,204,768 and 9,223,424 is: 20,232,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204,768 : 9,223,424 = 9,223,424 : x
  2. Step 2: Convert to fraction form
    4,204,768/9,223,424 = 9,223,424/x
  3. Step 3: Cross multiply
    4,204,768x = 9,223,424 × 9,223,424
  4. Step 4: Simplify right side
    4,204,768x = 85,071,550,283,776
  5. Step 5: Solve for x
    x = 85,071,550,283,776/4,204,768
  6. Step 6: Final answer
    x = 20,232,162.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.