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Finding the Third Proportional to 27,695,138.81 and 64,109,232.56

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Solution

The third proportional to 27,695,138.81 and 64,109,232.56 is: 148,401,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695,138.81 : 64,109,232.56 = 64,109,232.56 : x
  2. Step 2: Convert to fraction form
    27,695,138.81/64,109,232.56 = 64,109,232.56/x
  3. Step 3: Cross multiply
    27,695,138.81x = 64,109,232.56 × 64,109,232.56
  4. Step 4: Simplify right side
    27,695,138.81x = 4,109,993,699,752,710.50
  5. Step 5: Solve for x
    x = 4,109,993,699,752,710.50/27,695,138.81
  6. Step 6: Final answer
    x = 148,401,267.37

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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.