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Finding the Third Proportional to 7,720,124 and 16,500,416

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Solution

The third proportional to 7,720,124 and 16,500,416 is: 35,266,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720,124 : 16,500,416 = 16,500,416 : x
  2. Step 2: Convert to fraction form
    7,720,124/16,500,416 = 16,500,416/x
  3. Step 3: Cross multiply
    7,720,124x = 16,500,416 × 16,500,416
  4. Step 4: Simplify right side
    7,720,124x = 272,263,728,173,056
  5. Step 5: Solve for x
    x = 272,263,728,173,056/7,720,124
  6. Step 6: Final answer
    x = 35,266,755.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.