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Finding the Third Proportional to 4,856,487,416 and 10,449,550,576

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Solution

The third proportional to 4,856,487,416 and 10,449,550,576 is: 22,483,967,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856,487,416 : 10,449,550,576 = 10,449,550,576 : x
  2. Step 2: Convert to fraction form
    4,856,487,416/10,449,550,576 = 10,449,550,576/x
  3. Step 3: Cross multiply
    4,856,487,416x = 10,449,550,576 × 10,449,550,576
  4. Step 4: Simplify right side
    4,856,487,416x = 109,193,107,240,381,939,712
  5. Step 5: Solve for x
    x = 109,193,107,240,381,939,712/4,856,487,416
  6. Step 6: Final answer
    x = 22,483,967,914.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.