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Finding the Third Proportional to 30,290,223 and 46,991,025

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Solution

The third proportional to 30,290,223 and 46,991,025 is: 72,899,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290,223 : 46,991,025 = 46,991,025 : x
  2. Step 2: Convert to fraction form
    30,290,223/46,991,025 = 46,991,025/x
  3. Step 3: Cross multiply
    30,290,223x = 46,991,025 × 46,991,025
  4. Step 4: Simplify right side
    30,290,223x = 2,208,156,430,550,625
  5. Step 5: Solve for x
    x = 2,208,156,430,550,625/30,290,223
  6. Step 6: Final answer
    x = 72,899,972.73

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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.