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Finding the Third Proportional to 4,119,262 and 8,970,835

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Solution

The third proportional to 4,119,262 and 8,970,835 is: 19,536,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119,262 : 8,970,835 = 8,970,835 : x
  2. Step 2: Convert to fraction form
    4,119,262/8,970,835 = 8,970,835/x
  3. Step 3: Cross multiply
    4,119,262x = 8,970,835 × 8,970,835
  4. Step 4: Simplify right side
    4,119,262x = 80,475,880,597,225
  5. Step 5: Solve for x
    x = 80,475,880,597,225/4,119,262
  6. Step 6: Final answer
    x = 19,536,480.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.