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Finding the Third Proportional to 5,409,783 and 11,423,142

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Solution

The third proportional to 5,409,783 and 11,423,142 is: 24,120,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,783 : 11,423,142 = 11,423,142 : x
  2. Step 2: Convert to fraction form
    5,409,783/11,423,142 = 11,423,142/x
  3. Step 3: Cross multiply
    5,409,783x = 11,423,142 × 11,423,142
  4. Step 4: Simplify right side
    5,409,783x = 130,488,173,152,164
  5. Step 5: Solve for x
    x = 130,488,173,152,164/5,409,783
  6. Step 6: Final answer
    x = 24,120,777.70

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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.