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Finding the Third Proportional to 246,803,347,624.50 and 500,546,243,695.50

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Solution

The third proportional to 246,803,347,624.50 and 500,546,243,695.50 is: 1,015,166,708,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,803,347,624.50 : 500,546,243,695.50 = 500,546,243,695.50 : x
  2. Step 2: Convert to fraction form
    246,803,347,624.50/500,546,243,695.50 = 500,546,243,695.50/x
  3. Step 3: Cross multiply
    246,803,347,624.50x = 500,546,243,695.50 × 500,546,243,695.50
  4. Step 4: Simplify right side
    246,803,347,624.50x = 250,546,542,077,674,889,674,752
  5. Step 5: Solve for x
    x = 250,546,542,077,674,889,674,752/246,803,347,624.50
  6. Step 6: Final answer
    x = 1,015,166,708,592.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.