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Finding the Third Proportional to 41,137,049 and 85,462,724

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Solution

The third proportional to 41,137,049 and 85,462,724 is: 177,549,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137,049 : 85,462,724 = 85,462,724 : x
  2. Step 2: Convert to fraction form
    41,137,049/85,462,724 = 85,462,724/x
  3. Step 3: Cross multiply
    41,137,049x = 85,462,724 × 85,462,724
  4. Step 4: Simplify right side
    41,137,049x = 7,303,877,193,500,176
  5. Step 5: Solve for x
    x = 7,303,877,193,500,176/41,137,049
  6. Step 6: Final answer
    x = 177,549,857.64

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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.