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Finding the Third Proportional to 16,374,517,098 and 25,153,261,500

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Solution

The third proportional to 16,374,517,098 and 25,153,261,500 is: 38,638,486,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374,517,098 : 25,153,261,500 = 25,153,261,500 : x
  2. Step 2: Convert to fraction form
    16,374,517,098/25,153,261,500 = 25,153,261,500/x
  3. Step 3: Cross multiply
    16,374,517,098x = 25,153,261,500 × 25,153,261,500
  4. Step 4: Simplify right side
    16,374,517,098x = 632,686,564,087,382,278,144
  5. Step 5: Solve for x
    x = 632,686,564,087,382,278,144/16,374,517,098
  6. Step 6: Final answer
    x = 38,638,486,881.83

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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.