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Finding the Third Proportional to 75,004,928 and 112,707,120

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Solution

The third proportional to 75,004,928 and 112,707,120 is: 169,360,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004,928 : 112,707,120 = 112,707,120 : x
  2. Step 2: Convert to fraction form
    75,004,928/112,707,120 = 112,707,120/x
  3. Step 3: Cross multiply
    75,004,928x = 112,707,120 × 112,707,120
  4. Step 4: Simplify right side
    75,004,928x = 12,702,894,898,694,400
  5. Step 5: Solve for x
    x = 12,702,894,898,694,400/75,004,928
  6. Step 6: Final answer
    x = 169,360,803.85

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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.