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Finding the Third Proportional to 2,741,529,948 and 4,176,575,226

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Solution

The third proportional to 2,741,529,948 and 4,176,575,226 is: 6,362,790,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741,529,948 : 4,176,575,226 = 4,176,575,226 : x
  2. Step 2: Convert to fraction form
    2,741,529,948/4,176,575,226 = 4,176,575,226/x
  3. Step 3: Cross multiply
    2,741,529,948x = 4,176,575,226 × 4,176,575,226
  4. Step 4: Simplify right side
    2,741,529,948x = 17,443,780,618,436,952,064
  5. Step 5: Solve for x
    x = 17,443,780,618,436,952,064/2,741,529,948
  6. Step 6: Final answer
    x = 6,362,790,467.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.