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Finding the Third Proportional to 4,591,415,748.75 and 6,885,927,882

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Solution

The third proportional to 4,591,415,748.75 and 6,885,927,882 is: 10,327,098,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591,415,748.75 : 6,885,927,882 = 6,885,927,882 : x
  2. Step 2: Convert to fraction form
    4,591,415,748.75/6,885,927,882 = 6,885,927,882/x
  3. Step 3: Cross multiply
    4,591,415,748.75x = 6,885,927,882 × 6,885,927,882
  4. Step 4: Simplify right side
    4,591,415,748.75x = 47,416,002,796,105,007,104
  5. Step 5: Solve for x
    x = 47,416,002,796,105,007,104/4,591,415,748.75
  6. Step 6: Final answer
    x = 10,327,098,522.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.