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Finding the Third Proportional to 5,409,780 and 11,423,136

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Solution

The third proportional to 5,409,780 and 11,423,136 is: 24,120,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,780 : 11,423,136 = 11,423,136 : x
  2. Step 2: Convert to fraction form
    5,409,780/11,423,136 = 11,423,136/x
  3. Step 3: Cross multiply
    5,409,780x = 11,423,136 × 11,423,136
  4. Step 4: Simplify right side
    5,409,780x = 130,488,036,074,496
  5. Step 5: Solve for x
    x = 130,488,036,074,496/5,409,780
  6. Step 6: Final answer
    x = 24,120,765.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.