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Finding the Third Proportional to 432,190,533 and 946,347,882

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Solution

The third proportional to 432,190,533 and 946,347,882 is: 2,072,174,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,190,533 : 946,347,882 = 946,347,882 : x
  2. Step 2: Convert to fraction form
    432,190,533/946,347,882 = 946,347,882/x
  3. Step 3: Cross multiply
    432,190,533x = 946,347,882 × 946,347,882
  4. Step 4: Simplify right side
    432,190,533x = 895,574,313,765,885,952
  5. Step 5: Solve for x
    x = 895,574,313,765,885,952/432,190,533
  6. Step 6: Final answer
    x = 2,072,174,759.47

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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.