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Finding the Third Proportional to 8,461,694 and 12,338,085

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Solution

The third proportional to 8,461,694 and 12,338,085 is: 17,990,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,694 : 12,338,085 = 12,338,085 : x
  2. Step 2: Convert to fraction form
    8,461,694/12,338,085 = 12,338,085/x
  3. Step 3: Cross multiply
    8,461,694x = 12,338,085 × 12,338,085
  4. Step 4: Simplify right side
    8,461,694x = 152,228,341,467,225
  5. Step 5: Solve for x
    x = 152,228,341,467,225/8,461,694
  6. Step 6: Final answer
    x = 17,990,291.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.