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Finding the Third Proportional to 274,061,421 and 403,522,195.50

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Solution

The third proportional to 274,061,421 and 403,522,195.50 is: 594,137,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,061,421 : 403,522,195.50 = 403,522,195.50 : x
  2. Step 2: Convert to fraction form
    274,061,421/403,522,195.50 = 403,522,195.50/x
  3. Step 3: Cross multiply
    274,061,421x = 403,522,195.50 × 403,522,195.50
  4. Step 4: Simplify right side
    274,061,421x = 162,830,162,261,140,224
  5. Step 5: Solve for x
    x = 162,830,162,261,140,224/274,061,421
  6. Step 6: Final answer
    x = 594,137,480.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.