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Finding the Third Proportional to 195,342,912 and 424,651,392

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Solution

The third proportional to 195,342,912 and 424,651,392 is: 923,139,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,342,912 : 424,651,392 = 424,651,392 : x
  2. Step 2: Convert to fraction form
    195,342,912/424,651,392 = 424,651,392/x
  3. Step 3: Cross multiply
    195,342,912x = 424,651,392 × 424,651,392
  4. Step 4: Simplify right side
    195,342,912x = 180,328,804,727,537,664
  5. Step 5: Solve for x
    x = 180,328,804,727,537,664/195,342,912
  6. Step 6: Final answer
    x = 923,139,738.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.