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Finding the Third Proportional to 27,695,268 and 64,109,529

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Solution

The third proportional to 27,695,268 and 64,109,529 is: 148,401,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695,268 : 64,109,529 = 64,109,529 : x
  2. Step 2: Convert to fraction form
    27,695,268/64,109,529 = 64,109,529/x
  3. Step 3: Cross multiply
    27,695,268x = 64,109,529 × 64,109,529
  4. Step 4: Simplify right side
    27,695,268x = 4,110,031,708,601,841
  5. Step 5: Solve for x
    x = 4,110,031,708,601,841/27,695,268
  6. Step 6: Final answer
    x = 148,401,947.53

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.