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Finding the Third Proportional to 73,746,424 and 106,234,608

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Solution

The third proportional to 73,746,424 and 106,234,608 is: 153,035,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,746,424 : 106,234,608 = 106,234,608 : x
  2. Step 2: Convert to fraction form
    73,746,424/106,234,608 = 106,234,608/x
  3. Step 3: Cross multiply
    73,746,424x = 106,234,608 × 106,234,608
  4. Step 4: Simplify right side
    73,746,424x = 11,285,791,936,913,664
  5. Step 5: Solve for x
    x = 11,285,791,936,913,664/73,746,424
  6. Step 6: Final answer
    x = 153,035,107.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.