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Finding the Third Proportional to 9,195,760 and 19,512,312

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Solution

The third proportional to 9,195,760 and 19,512,312 is: 41,402,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195,760 : 19,512,312 = 19,512,312 : x
  2. Step 2: Convert to fraction form
    9,195,760/19,512,312 = 19,512,312/x
  3. Step 3: Cross multiply
    9,195,760x = 19,512,312 × 19,512,312
  4. Step 4: Simplify right side
    9,195,760x = 380,730,319,585,344
  5. Step 5: Solve for x
    x = 380,730,319,585,344/9,195,760
  6. Step 6: Final answer
    x = 41,402,811.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.