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Finding the Third Proportional to 8,133,120 and 17,605,206

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Solution

The third proportional to 8,133,120 and 17,605,206 is: 38,108,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133,120 : 17,605,206 = 17,605,206 : x
  2. Step 2: Convert to fraction form
    8,133,120/17,605,206 = 17,605,206/x
  3. Step 3: Cross multiply
    8,133,120x = 17,605,206 × 17,605,206
  4. Step 4: Simplify right side
    8,133,120x = 309,943,278,302,436
  5. Step 5: Solve for x
    x = 309,943,278,302,436/8,133,120
  6. Step 6: Final answer
    x = 38,108,779.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.