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Finding the Third Proportional to 432,190,524 and 946,347,864

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Solution

The third proportional to 432,190,524 and 946,347,864 is: 2,072,174,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,190,524 : 946,347,864 = 946,347,864 : x
  2. Step 2: Convert to fraction form
    432,190,524/946,347,864 = 946,347,864/x
  3. Step 3: Cross multiply
    432,190,524x = 946,347,864 × 946,347,864
  4. Step 4: Simplify right side
    432,190,524x = 895,574,279,697,362,432
  5. Step 5: Solve for x
    x = 895,574,279,697,362,432/432,190,524
  6. Step 6: Final answer
    x = 2,072,174,723.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.