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Finding the Third Proportional to 41,818,914 and 90,586,838.25

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Solution

The third proportional to 41,818,914 and 90,586,838.25 is: 196,226,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,818,914 : 90,586,838.25 = 90,586,838.25 : x
  2. Step 2: Convert to fraction form
    41,818,914/90,586,838.25 = 90,586,838.25/x
  3. Step 3: Cross multiply
    41,818,914x = 90,586,838.25 × 90,586,838.25
  4. Step 4: Simplify right side
    41,818,914x = 8,205,975,264,131,663
  5. Step 5: Solve for x
    x = 8,205,975,264,131,663/41,818,914
  6. Step 6: Final answer
    x = 196,226,407.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.