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Finding the Third Proportional to 71,594,902,878 and 99,546,989,760

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Solution

The third proportional to 71,594,902,878 and 99,546,989,760 is: 138,412,132,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,594,902,878 : 99,546,989,760 = 99,546,989,760 : x
  2. Step 2: Convert to fraction form
    71,594,902,878/99,546,989,760 = 99,546,989,760/x
  3. Step 3: Cross multiply
    71,594,902,878x = 99,546,989,760 × 99,546,989,760
  4. Step 4: Simplify right side
    71,594,902,878x = 9,909,603,170,277,545,476,096
  5. Step 5: Solve for x
    x = 9,909,603,170,277,545,476,096/71,594,902,878
  6. Step 6: Final answer
    x = 138,412,132,315.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.