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Finding the Third Proportional to 64,015,438 and 140,173,100

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Solution

The third proportional to 64,015,438 and 140,173,100 is: 306,933,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,015,438 : 140,173,100 = 140,173,100 : x
  2. Step 2: Convert to fraction form
    64,015,438/140,173,100 = 140,173,100/x
  3. Step 3: Cross multiply
    64,015,438x = 140,173,100 × 140,173,100
  4. Step 4: Simplify right side
    64,015,438x = 19,648,497,963,610,000
  5. Step 5: Solve for x
    x = 19,648,497,963,610,000/64,015,438
  6. Step 6: Final answer
    x = 306,933,742.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.