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Finding the Third Proportional to 30,798,102 and 47,682,369

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Solution

The third proportional to 30,798,102 and 47,682,369 is: 73,823,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798,102 : 47,682,369 = 47,682,369 : x
  2. Step 2: Convert to fraction form
    30,798,102/47,682,369 = 47,682,369/x
  3. Step 3: Cross multiply
    30,798,102x = 47,682,369 × 47,682,369
  4. Step 4: Simplify right side
    30,798,102x = 2,273,608,313,452,161
  5. Step 5: Solve for x
    x = 2,273,608,313,452,161/30,798,102
  6. Step 6: Final answer
    x = 73,823,000.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.