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Finding the Third Proportional to 2,295,759,203,613 and 4,932,216,463,266

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Solution

The third proportional to 2,295,759,203,613 and 4,932,216,463,266 is: 10,596,389,726,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,759,203,613 : 4,932,216,463,266 = 4,932,216,463,266 : x
  2. Step 2: Convert to fraction form
    2,295,759,203,613/4,932,216,463,266 = 4,932,216,463,266/x
  3. Step 3: Cross multiply
    2,295,759,203,613x = 4,932,216,463,266 × 4,932,216,463,266
  4. Step 4: Simplify right side
    2,295,759,203,613x = 24,326,759,240,512,169,022,849,024
  5. Step 5: Solve for x
    x = 24,326,759,240,512,169,022,849,024/2,295,759,203,613
  6. Step 6: Final answer
    x = 10,596,389,726,861.34

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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.