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Finding the Third Proportional to 31,330,080 and 47,895,624

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Solution

The third proportional to 31,330,080 and 47,895,624 is: 73,220,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,330,080 : 47,895,624 = 47,895,624 : x
  2. Step 2: Convert to fraction form
    31,330,080/47,895,624 = 47,895,624/x
  3. Step 3: Cross multiply
    31,330,080x = 47,895,624 × 47,895,624
  4. Step 4: Simplify right side
    31,330,080x = 2,293,990,798,349,376
  5. Step 5: Solve for x
    x = 2,293,990,798,349,376/31,330,080
  6. Step 6: Final answer
    x = 73,220,074.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.