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Finding the Third Proportional to 8,496,875 and 12,815,823

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Solution

The third proportional to 8,496,875 and 12,815,823 is: 19,330,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496,875 : 12,815,823 = 12,815,823 : x
  2. Step 2: Convert to fraction form
    8,496,875/12,815,823 = 12,815,823/x
  3. Step 3: Cross multiply
    8,496,875x = 12,815,823 × 12,815,823
  4. Step 4: Simplify right side
    8,496,875x = 164,245,319,167,329
  5. Step 5: Solve for x
    x = 164,245,319,167,329/8,496,875
  6. Step 6: Final answer
    x = 19,330,085.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.