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Finding the Third Proportional to 432,190,575 and 946,347,960

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Solution

The third proportional to 432,190,575 and 946,347,960 is: 2,072,174,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,190,575 : 946,347,960 = 946,347,960 : x
  2. Step 2: Convert to fraction form
    432,190,575/946,347,960 = 946,347,960/x
  3. Step 3: Cross multiply
    432,190,575x = 946,347,960 × 946,347,960
  4. Step 4: Simplify right side
    432,190,575x = 895,574,461,396,161,536
  5. Step 5: Solve for x
    x = 895,574,461,396,161,536/432,190,575
  6. Step 6: Final answer
    x = 2,072,174,899.69

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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.