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Finding the Third Proportional to 432,686,760 and 930,981,891

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Solution

The third proportional to 432,686,760 and 930,981,891 is: 2,003,128,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,686,760 : 930,981,891 = 930,981,891 : x
  2. Step 2: Convert to fraction form
    432,686,760/930,981,891 = 930,981,891/x
  3. Step 3: Cross multiply
    432,686,760x = 930,981,891 × 930,981,891
  4. Step 4: Simplify right side
    432,686,760x = 866,727,281,369,935,872
  5. Step 5: Solve for x
    x = 866,727,281,369,935,872/432,686,760
  6. Step 6: Final answer
    x = 2,003,128,733.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.