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Finding the Third Proportional to 7,768,416 and 11,760,564

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Solution

The third proportional to 7,768,416 and 11,760,564 is: 17,804,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,416 : 11,760,564 = 11,760,564 : x
  2. Step 2: Convert to fraction form
    7,768,416/11,760,564 = 11,760,564/x
  3. Step 3: Cross multiply
    7,768,416x = 11,760,564 × 11,760,564
  4. Step 4: Simplify right side
    7,768,416x = 138,310,865,598,096
  5. Step 5: Solve for x
    x = 138,310,865,598,096/7,768,416
  6. Step 6: Final answer
    x = 17,804,255.80

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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.