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Finding the Third Proportional to 42,416,814 and 67,273,137

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Solution

The third proportional to 42,416,814 and 67,273,137 is: 106,695,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416,814 : 67,273,137 = 67,273,137 : x
  2. Step 2: Convert to fraction form
    42,416,814/67,273,137 = 67,273,137/x
  3. Step 3: Cross multiply
    42,416,814x = 67,273,137 × 67,273,137
  4. Step 4: Simplify right side
    42,416,814x = 4,525,674,961,820,769
  5. Step 5: Solve for x
    x = 4,525,674,961,820,769/42,416,814
  6. Step 6: Final answer
    x = 106,695,306.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.