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Finding the Third Proportional to 8,289,223 and 17,838,158

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Solution

The third proportional to 8,289,223 and 17,838,158 is: 38,387,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289,223 : 17,838,158 = 17,838,158 : x
  2. Step 2: Convert to fraction form
    8,289,223/17,838,158 = 17,838,158/x
  3. Step 3: Cross multiply
    8,289,223x = 17,838,158 × 17,838,158
  4. Step 4: Simplify right side
    8,289,223x = 318,199,880,832,964
  5. Step 5: Solve for x
    x = 318,199,880,832,964/8,289,223
  6. Step 6: Final answer
    x = 38,387,178.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.