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Finding the Third Proportional to 4,873,601,217 and 7,533,966,144

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Solution

The third proportional to 4,873,601,217 and 7,533,966,144 is: 11,646,551,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873,601,217 : 7,533,966,144 = 7,533,966,144 : x
  2. Step 2: Convert to fraction form
    4,873,601,217/7,533,966,144 = 7,533,966,144/x
  3. Step 3: Cross multiply
    4,873,601,217x = 7,533,966,144 × 7,533,966,144
  4. Step 4: Simplify right side
    4,873,601,217x = 56,760,645,858,938,224,640
  5. Step 5: Solve for x
    x = 56,760,645,858,938,224,640/4,873,601,217
  6. Step 6: Final answer
    x = 11,646,551,150.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.