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Finding the Third Proportional to 7,706,857 and 16,786,786

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Solution

The third proportional to 7,706,857 and 16,786,786 is: 36,564,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706,857 : 16,786,786 = 16,786,786 : x
  2. Step 2: Convert to fraction form
    7,706,857/16,786,786 = 16,786,786/x
  3. Step 3: Cross multiply
    7,706,857x = 16,786,786 × 16,786,786
  4. Step 4: Simplify right side
    7,706,857x = 281,796,184,209,796
  5. Step 5: Solve for x
    x = 281,796,184,209,796/7,706,857
  6. Step 6: Final answer
    x = 36,564,345.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.