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Finding the Third Proportional to 4,473,324,470 and 6,671,194,543

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Solution

The third proportional to 4,473,324,470 and 6,671,194,543 is: 9,948,939,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473,324,470 : 6,671,194,543 = 6,671,194,543 : x
  2. Step 2: Convert to fraction form
    4,473,324,470/6,671,194,543 = 6,671,194,543/x
  3. Step 3: Cross multiply
    4,473,324,470x = 6,671,194,543 × 6,671,194,543
  4. Step 4: Simplify right side
    4,473,324,470x = 44,504,836,630,552,977,408
  5. Step 5: Solve for x
    x = 44,504,836,630,552,977,408/4,473,324,470
  6. Step 6: Final answer
    x = 9,948,939,972.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.