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Finding the Third Proportional to 432,190,518 and 946,347,852

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Solution

The third proportional to 432,190,518 and 946,347,852 is: 2,072,174,700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,190,518 : 946,347,852 = 946,347,852 : x
  2. Step 2: Convert to fraction form
    432,190,518/946,347,852 = 946,347,852/x
  3. Step 3: Cross multiply
    432,190,518x = 946,347,852 × 946,347,852
  4. Step 4: Simplify right side
    432,190,518x = 895,574,256,985,013,888
  5. Step 5: Solve for x
    x = 895,574,256,985,013,888/432,190,518
  6. Step 6: Final answer
    x = 2,072,174,700.01

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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.