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Finding the Third Proportional to 177,044,494,248 and 271,961,998,752

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Solution

The third proportional to 177,044,494,248 and 271,961,998,752 is: 417,766,895,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,044,494,248 : 271,961,998,752 = 271,961,998,752 : x
  2. Step 2: Convert to fraction form
    177,044,494,248/271,961,998,752 = 271,961,998,752/x
  3. Step 3: Cross multiply
    177,044,494,248x = 271,961,998,752 × 271,961,998,752
  4. Step 4: Simplify right side
    177,044,494,248x = 73,963,328,765,182,848,532,480
  5. Step 5: Solve for x
    x = 73,963,328,765,182,848,532,480/177,044,494,248
  6. Step 6: Final answer
    x = 417,766,895,713.67

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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.