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Finding the Third Proportional to 4,856,487,420 and 10,449,550,584

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Solution

The third proportional to 4,856,487,420 and 10,449,550,584 is: 22,483,967,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856,487,420 : 10,449,550,584 = 10,449,550,584 : x
  2. Step 2: Convert to fraction form
    4,856,487,420/10,449,550,584 = 10,449,550,584/x
  3. Step 3: Cross multiply
    4,856,487,420x = 10,449,550,584 × 10,449,550,584
  4. Step 4: Simplify right side
    4,856,487,420x = 109,193,107,407,574,745,088
  5. Step 5: Solve for x
    x = 109,193,107,407,574,745,088/4,856,487,420
  6. Step 6: Final answer
    x = 22,483,967,930.79

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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.