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Finding the Third Proportional to 2,457,416,542 and 5,415,732,834

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Solution

The third proportional to 2,457,416,542 and 5,415,732,834 is: 11,935,364,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,416,542 : 5,415,732,834 = 5,415,732,834 : x
  2. Step 2: Convert to fraction form
    2,457,416,542/5,415,732,834 = 5,415,732,834/x
  3. Step 3: Cross multiply
    2,457,416,542x = 5,415,732,834 × 5,415,732,834
  4. Step 4: Simplify right side
    2,457,416,542x = 29,330,162,129,265,672,192
  5. Step 5: Solve for x
    x = 29,330,162,129,265,672,192/2,457,416,542
  6. Step 6: Final answer
    x = 11,935,364,488.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.