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Finding the Third Proportional to 7,828,599,240,648 and 15,880,421,288,672

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Solution

The third proportional to 7,828,599,240,648 and 15,880,421,288,672 is: 32,213,653,113,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828,599,240,648 : 15,880,421,288,672 = 15,880,421,288,672 : x
  2. Step 2: Convert to fraction form
    7,828,599,240,648/15,880,421,288,672 = 15,880,421,288,672/x
  3. Step 3: Cross multiply
    7,828,599,240,648x = 15,880,421,288,672 × 15,880,421,288,672
  4. Step 4: Simplify right side
    7,828,599,240,648x = 252,187,780,305,706,881,017,446,400
  5. Step 5: Solve for x
    x = 252,187,780,305,706,881,017,446,400/7,828,599,240,648
  6. Step 6: Final answer
    x = 32,213,653,113,865.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.