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Finding the Third Proportional to 463,225,216.50 and 1,018,268,349.75

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Solution

The third proportional to 463,225,216.50 and 1,018,268,349.75 is: 2,238,372,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,225,216.50 : 1,018,268,349.75 = 1,018,268,349.75 : x
  2. Step 2: Convert to fraction form
    463,225,216.50/1,018,268,349.75 = 1,018,268,349.75/x
  3. Step 3: Cross multiply
    463,225,216.50x = 1,018,268,349.75 × 1,018,268,349.75
  4. Step 4: Simplify right side
    463,225,216.50x = 1,036,870,432,102,588,288
  5. Step 5: Solve for x
    x = 1,036,870,432,102,588,288/463,225,216.50
  6. Step 6: Final answer
    x = 2,238,372,167.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.