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Finding the Third Proportional to 11,206,863 and 16,810,281

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Solution

The third proportional to 11,206,863 and 16,810,281 is: 25,215,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206,863 : 16,810,281 = 16,810,281 : x
  2. Step 2: Convert to fraction form
    11,206,863/16,810,281 = 16,810,281/x
  3. Step 3: Cross multiply
    11,206,863x = 16,810,281 × 16,810,281
  4. Step 4: Simplify right side
    11,206,863x = 282,585,547,298,961
  5. Step 5: Solve for x
    x = 282,585,547,298,961/11,206,863
  6. Step 6: Final answer
    x = 25,215,401.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.