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Finding the Third Proportional to 64,505,576 and 140,348,536

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Solution

The third proportional to 64,505,576 and 140,348,536 is: 305,364,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505,576 : 140,348,536 = 140,348,536 : x
  2. Step 2: Convert to fraction form
    64,505,576/140,348,536 = 140,348,536/x
  3. Step 3: Cross multiply
    64,505,576x = 140,348,536 × 140,348,536
  4. Step 4: Simplify right side
    64,505,576x = 19,697,711,557,343,296
  5. Step 5: Solve for x
    x = 19,697,711,557,343,296/64,505,576
  6. Step 6: Final answer
    x = 305,364,478.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.