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Finding the Third Proportional to 2,339,723,554,818 and 5,094,817,074,804

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Solution

The third proportional to 2,339,723,554,818 and 5,094,817,074,804 is: 11,094,114,504,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339,723,554,818 : 5,094,817,074,804 = 5,094,817,074,804 : x
  2. Step 2: Convert to fraction form
    2,339,723,554,818/5,094,817,074,804 = 5,094,817,074,804/x
  3. Step 3: Cross multiply
    2,339,723,554,818x = 5,094,817,074,804 × 5,094,817,074,804
  4. Step 4: Simplify right side
    2,339,723,554,818x = 25,957,161,025,714,389,117,829,120
  5. Step 5: Solve for x
    x = 25,957,161,025,714,389,117,829,120/2,339,723,554,818
  6. Step 6: Final answer
    x = 11,094,114,504,366.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.