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Finding the Third Proportional to 113,263,725,806 and 245,379,542,550

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Solution

The third proportional to 113,263,725,806 and 245,379,542,550 is: 531,601,088,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,263,725,806 : 245,379,542,550 = 245,379,542,550 : x
  2. Step 2: Convert to fraction form
    113,263,725,806/245,379,542,550 = 245,379,542,550/x
  3. Step 3: Cross multiply
    113,263,725,806x = 245,379,542,550 × 245,379,542,550
  4. Step 4: Simplify right side
    113,263,725,806x = 60,211,119,902,047,256,707,072
  5. Step 5: Solve for x
    x = 60,211,119,902,047,256,707,072/113,263,725,806
  6. Step 6: Final answer
    x = 531,601,088,288.21

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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.