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Finding the Third Proportional to 41,137,057 and 85,462,738.50

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Solution

The third proportional to 41,137,057 and 85,462,738.50 is: 177,549,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137,057 : 85,462,738.50 = 85,462,738.50 : x
  2. Step 2: Convert to fraction form
    41,137,057/85,462,738.50 = 85,462,738.50/x
  3. Step 3: Cross multiply
    41,137,057x = 85,462,738.50 × 85,462,738.50
  4. Step 4: Simplify right side
    41,137,057x = 7,303,879,671,919,382
  5. Step 5: Solve for x
    x = 7,303,879,671,919,382/41,137,057
  6. Step 6: Final answer
    x = 177,549,883.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.