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Finding the Third Proportional to 41,011,868 and 96,812,380

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Solution

The third proportional to 41,011,868 and 96,812,380 is: 228,534,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,011,868 : 96,812,380 = 96,812,380 : x
  2. Step 2: Convert to fraction form
    41,011,868/96,812,380 = 96,812,380/x
  3. Step 3: Cross multiply
    41,011,868x = 96,812,380 × 96,812,380
  4. Step 4: Simplify right side
    41,011,868x = 9,372,636,921,264,400
  5. Step 5: Solve for x
    x = 9,372,636,921,264,400/41,011,868
  6. Step 6: Final answer
    x = 228,534,748.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.