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Finding the Third Proportional to 7,712,891 and 11,285,419

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Solution

The third proportional to 7,712,891 and 11,285,419 is: 16,512,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712,891 : 11,285,419 = 11,285,419 : x
  2. Step 2: Convert to fraction form
    7,712,891/11,285,419 = 11,285,419/x
  3. Step 3: Cross multiply
    7,712,891x = 11,285,419 × 11,285,419
  4. Step 4: Simplify right side
    7,712,891x = 127,360,682,005,561
  5. Step 5: Solve for x
    x = 127,360,682,005,561/7,712,891
  6. Step 6: Final answer
    x = 16,512,703.47

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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.