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Finding the Third Proportional to 482,912,672 and 1,047,490,024

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Solution

The third proportional to 482,912,672 and 1,047,490,024 is: 2,272,119,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,912,672 : 1,047,490,024 = 1,047,490,024 : x
  2. Step 2: Convert to fraction form
    482,912,672/1,047,490,024 = 1,047,490,024/x
  3. Step 3: Cross multiply
    482,912,672x = 1,047,490,024 × 1,047,490,024
  4. Step 4: Simplify right side
    482,912,672x = 1,097,235,350,379,520,512
  5. Step 5: Solve for x
    x = 1,097,235,350,379,520,512/482,912,672
  6. Step 6: Final answer
    x = 2,272,119,606.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.