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Finding the Third Proportional to 624,976,632 and 1,320,811,920

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Solution

The third proportional to 624,976,632 and 1,320,811,920 is: 2,791,374,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,976,632 : 1,320,811,920 = 1,320,811,920 : x
  2. Step 2: Convert to fraction form
    624,976,632/1,320,811,920 = 1,320,811,920/x
  3. Step 3: Cross multiply
    624,976,632x = 1,320,811,920 × 1,320,811,920
  4. Step 4: Simplify right side
    624,976,632x = 1,744,544,128,014,086,400
  5. Step 5: Solve for x
    x = 1,744,544,128,014,086,400/624,976,632
  6. Step 6: Final answer
    x = 2,791,374,970.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.