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Finding the Third Proportional to 11,784,997,734 and 25,531,540,062

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Solution

The third proportional to 11,784,997,734 and 25,531,540,062 is: 55,312,657,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784,997,734 : 25,531,540,062 = 25,531,540,062 : x
  2. Step 2: Convert to fraction form
    11,784,997,734/25,531,540,062 = 25,531,540,062/x
  3. Step 3: Cross multiply
    11,784,997,734x = 25,531,540,062 × 25,531,540,062
  4. Step 4: Simplify right side
    11,784,997,734x = 651,859,537,937,510,957,056
  5. Step 5: Solve for x
    x = 651,859,537,937,510,957,056/11,784,997,734
  6. Step 6: Final answer
    x = 55,312,657,045.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.