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Finding the Third Proportional to 20,374,632 and 30,824,424

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Solution

The third proportional to 20,374,632 and 30,824,424 is: 46,633,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374,632 : 30,824,424 = 30,824,424 : x
  2. Step 2: Convert to fraction form
    20,374,632/30,824,424 = 30,824,424/x
  3. Step 3: Cross multiply
    20,374,632x = 30,824,424 × 30,824,424
  4. Step 4: Simplify right side
    20,374,632x = 950,145,114,931,776
  5. Step 5: Solve for x
    x = 950,145,114,931,776/20,374,632
  6. Step 6: Final answer
    x = 46,633,731.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.