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Finding the Third Proportional to 16,374,517,108 and 25,153,261,518

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Solution

The third proportional to 16,374,517,108 and 25,153,261,518 is: 38,638,486,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374,517,108 : 25,153,261,518 = 25,153,261,518 : x
  2. Step 2: Convert to fraction form
    16,374,517,108/25,153,261,518 = 25,153,261,518/x
  3. Step 3: Cross multiply
    16,374,517,108x = 25,153,261,518 × 25,153,261,518
  4. Step 4: Simplify right side
    16,374,517,108x = 632,686,564,992,899,612,672
  5. Step 5: Solve for x
    x = 632,686,564,992,899,612,672/16,374,517,108
  6. Step 6: Final answer
    x = 38,638,486,913.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.