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Finding the Third Proportional to 2,295,759,203,615 and 4,932,216,463,270

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Solution

The third proportional to 2,295,759,203,615 and 4,932,216,463,270 is: 10,596,389,726,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,759,203,615 : 4,932,216,463,270 = 4,932,216,463,270 : x
  2. Step 2: Convert to fraction form
    2,295,759,203,615/4,932,216,463,270 = 4,932,216,463,270/x
  3. Step 3: Cross multiply
    2,295,759,203,615x = 4,932,216,463,270 × 4,932,216,463,270
  4. Step 4: Simplify right side
    2,295,759,203,615x = 24,326,759,240,551,626,887,397,376
  5. Step 5: Solve for x
    x = 24,326,759,240,551,626,887,397,376/2,295,759,203,615
  6. Step 6: Final answer
    x = 10,596,389,726,869.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.