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Finding the Third Proportional to 64,156,741 and 96,236,751

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Solution

The third proportional to 64,156,741 and 96,236,751 is: 144,357,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,156,741 : 96,236,751 = 96,236,751 : x
  2. Step 2: Convert to fraction form
    64,156,741/96,236,751 = 96,236,751/x
  3. Step 3: Cross multiply
    64,156,741x = 96,236,751 × 96,236,751
  4. Step 4: Simplify right side
    64,156,741x = 9,261,512,243,036,000
  5. Step 5: Solve for x
    x = 9,261,512,243,036,000/64,156,741
  6. Step 6: Final answer
    x = 144,357,585.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.