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Finding the Third Proportional to 64,025,965.13 and 137,762,645.63

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Solution

The third proportional to 64,025,965.13 and 137,762,645.63 is: 296,419,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,025,965.13 : 137,762,645.63 = 137,762,645.63 : x
  2. Step 2: Convert to fraction form
    64,025,965.13/137,762,645.63 = 137,762,645.63/x
  3. Step 3: Cross multiply
    64,025,965.13x = 137,762,645.63 × 137,762,645.63
  4. Step 4: Simplify right side
    64,025,965.13x = 18,978,546,529,599,332
  5. Step 5: Solve for x
    x = 18,978,546,529,599,332/64,025,965.13
  6. Step 6: Final answer
    x = 296,419,530.62

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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.