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Finding the Third Proportional to 4,785,084 and 10,500,192

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Solution

The third proportional to 4,785,084 and 10,500,192 is: 23,041,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785,084 : 10,500,192 = 10,500,192 : x
  2. Step 2: Convert to fraction form
    4,785,084/10,500,192 = 10,500,192/x
  3. Step 3: Cross multiply
    4,785,084x = 10,500,192 × 10,500,192
  4. Step 4: Simplify right side
    4,785,084x = 110,254,032,036,864
  5. Step 5: Solve for x
    x = 110,254,032,036,864/4,785,084
  6. Step 6: Final answer
    x = 23,041,190.51

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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.