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Finding the Third Proportional to 64,025,967 and 137,762,650

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Solution

The third proportional to 64,025,967 and 137,762,650 is: 296,419,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,025,967 : 137,762,650 = 137,762,650 : x
  2. Step 2: Convert to fraction form
    64,025,967/137,762,650 = 137,762,650/x
  3. Step 3: Cross multiply
    64,025,967x = 137,762,650 × 137,762,650
  4. Step 4: Simplify right side
    64,025,967x = 18,978,547,735,022,500
  5. Step 5: Solve for x
    x = 18,978,547,735,022,500/64,025,967
  6. Step 6: Final answer
    x = 296,419,540.76

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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.