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Finding the Third Proportional to 60,461,731 and 123,461,232

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Solution

The third proportional to 60,461,731 and 123,461,232 is: 252,104,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,461,731 : 123,461,232 = 123,461,232 : x
  2. Step 2: Convert to fraction form
    60,461,731/123,461,232 = 123,461,232/x
  3. Step 3: Cross multiply
    60,461,731x = 123,461,232 × 123,461,232
  4. Step 4: Simplify right side
    60,461,731x = 15,242,675,806,957,824
  5. Step 5: Solve for x
    x = 15,242,675,806,957,824/60,461,731
  6. Step 6: Final answer
    x = 252,104,522.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.