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Finding the Third Proportional to 16,374,517,106 and 25,153,261,512

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Solution

The third proportional to 16,374,517,106 and 25,153,261,512 is: 38,638,486,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374,517,106 : 25,153,261,512 = 25,153,261,512 : x
  2. Step 2: Convert to fraction form
    16,374,517,106/25,153,261,512 = 25,153,261,512/x
  3. Step 3: Cross multiply
    16,374,517,106x = 25,153,261,512 × 25,153,261,512
  4. Step 4: Simplify right side
    16,374,517,106x = 632,686,564,691,060,588,544
  5. Step 5: Solve for x
    x = 632,686,564,691,060,588,544/16,374,517,106
  6. Step 6: Final answer
    x = 38,638,486,899.82

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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.