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Finding the Third Proportional to 8,177,025 and 17,785,803

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Solution

The third proportional to 8,177,025 and 17,785,803 is: 38,685,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177,025 : 17,785,803 = 17,785,803 : x
  2. Step 2: Convert to fraction form
    8,177,025/17,785,803 = 17,785,803/x
  3. Step 3: Cross multiply
    8,177,025x = 17,785,803 × 17,785,803
  4. Step 4: Simplify right side
    8,177,025x = 316,334,788,354,809
  5. Step 5: Solve for x
    x = 316,334,788,354,809/8,177,025
  6. Step 6: Final answer
    x = 38,685,804.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.