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Finding the Third Proportional to 75,788,007 and 164,439,627

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Solution

The third proportional to 75,788,007 and 164,439,627 is: 356,789,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,788,007 : 164,439,627 = 164,439,627 : x
  2. Step 2: Convert to fraction form
    75,788,007/164,439,627 = 164,439,627/x
  3. Step 3: Cross multiply
    75,788,007x = 164,439,627 × 164,439,627
  4. Step 4: Simplify right side
    75,788,007x = 27,040,390,927,899,128
  5. Step 5: Solve for x
    x = 27,040,390,927,899,128/75,788,007
  6. Step 6: Final answer
    x = 356,789,840.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.