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Finding the Third Proportional to 432,190,526 and 946,347,868

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Solution

The third proportional to 432,190,526 and 946,347,868 is: 2,072,174,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,190,526 : 946,347,868 = 946,347,868 : x
  2. Step 2: Convert to fraction form
    432,190,526/946,347,868 = 946,347,868/x
  3. Step 3: Cross multiply
    432,190,526x = 946,347,868 × 946,347,868
  4. Step 4: Simplify right side
    432,190,526x = 895,574,287,268,145,408
  5. Step 5: Solve for x
    x = 895,574,287,268,145,408/432,190,526
  6. Step 6: Final answer
    x = 2,072,174,731.73

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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.