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Finding the Third Proportional to 17,106,009 and 37,223,517

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Solution

The third proportional to 17,106,009 and 37,223,517 is: 81,000,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106,009 : 37,223,517 = 37,223,517 : x
  2. Step 2: Convert to fraction form
    17,106,009/37,223,517 = 37,223,517/x
  3. Step 3: Cross multiply
    17,106,009x = 37,223,517 × 37,223,517
  4. Step 4: Simplify right side
    17,106,009x = 1,385,590,217,849,289
  5. Step 5: Solve for x
    x = 1,385,590,217,849,289/17,106,009
  6. Step 6: Final answer
    x = 81,000,203.95

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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.