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Finding the Third Proportional to 7,765,712 and 11,757,156

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Solution

The third proportional to 7,765,712 and 11,757,156 is: 17,800,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765,712 : 11,757,156 = 11,757,156 : x
  2. Step 2: Convert to fraction form
    7,765,712/11,757,156 = 11,757,156/x
  3. Step 3: Cross multiply
    7,765,712x = 11,757,156 × 11,757,156
  4. Step 4: Simplify right side
    7,765,712x = 138,230,717,208,336
  5. Step 5: Solve for x
    x = 138,230,717,208,336/7,765,712
  6. Step 6: Final answer
    x = 17,800,134.39

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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.