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Finding the Third Proportional to 284,941,860 and 451,559,062

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Solution

The third proportional to 284,941,860 and 451,559,062 is: 715,604,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,941,860 : 451,559,062 = 451,559,062 : x
  2. Step 2: Convert to fraction form
    284,941,860/451,559,062 = 451,559,062/x
  3. Step 3: Cross multiply
    284,941,860x = 451,559,062 × 451,559,062
  4. Step 4: Simplify right side
    284,941,860x = 203,905,586,474,319,840
  5. Step 5: Solve for x
    x = 203,905,586,474,319,840/284,941,860
  6. Step 6: Final answer
    x = 715,604,181.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.