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Finding the Third Proportional to 630,933,156 and 1,460,496,012

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Solution

The third proportional to 630,933,156 and 1,460,496,012 is: 3,380,783,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,933,156 : 1,460,496,012 = 1,460,496,012 : x
  2. Step 2: Convert to fraction form
    630,933,156/1,460,496,012 = 1,460,496,012/x
  3. Step 3: Cross multiply
    630,933,156x = 1,460,496,012 × 1,460,496,012
  4. Step 4: Simplify right side
    630,933,156x = 2,133,048,601,067,904,256
  5. Step 5: Solve for x
    x = 2,133,048,601,067,904,256/630,933,156
  6. Step 6: Final answer
    x = 3,380,783,813.28

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.